// Numbas version: finer_feedback_settings
{"name": "Alison's copy of Ex 3 Matrix Multiplication 2", "extensions": ["stats"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"metadata": {"description": "<p>Elementary Exercises in multiplying matrices.&nbsp;</p>", "licence": "Creative Commons Attribution 4.0 International"}, "variables": {"ba11": {"description": "", "definition": "b11*a11+b12*a21+b13*a31", "group": "Ungrouped variables", "templateType": "anything", "name": "ba11"}, "b33": {"description": "", "definition": "random(-2..2)", "group": "Ungrouped variables", "templateType": "anything", "name": "b33"}, "c11": {"description": "", "definition": "random(-2..2)", "group": "Ungrouped variables", "templateType": "anything", "name": "c11"}, "v": {"description": "", "definition": "[[s1,-s1],[s2,-s2],[s3,-s3],[s4,-s4],[s5,-s5],[s6,-s6],[s7,-s7],[s8,-s8],[s9,-s9],[s10,-s10]]", "group": "Ungrouped variables", "templateType": "anything", "name": "v"}, "p": {"description": "", "definition": "n+random(0,z)", "group": "Ungrouped variables", "templateType": "anything", "name": "p"}, "w3": {"description": "", "definition": "random(-4..4)", "group": "Ungrouped variables", "templateType": "anything", "name": "w3"}, "u": {"description": "", "definition": "random(3..4)", "group": "Ungrouped variables", "templateType": "anything", "name": "u"}, "ba23": {"description": "", "definition": "b21*a13+b22*a23+b23*a33", "group": "Ungrouped variables", "templateType": "anything", "name": "ba23"}, "ba33": {"description": "", "definition": "b31*a13+b32*a23+b33*a33", "group": "Ungrouped variables", "templateType": "anything", "name": "ba33"}, "s7": {"description": "", "definition": "if(u=y,0.5,-0.5)", "group": "Ungrouped variables", "templateType": "anything", "name": "s7"}, "b12": {"description": "", "definition": "random(0,1)", "group": "Ungrouped variables", "templateType": "anything", "name": "b12"}, "ab23": {"description": "", "definition": "a21*b13+a22*b23+a23*b33", "group": "Ungrouped variables", "templateType": "anything", "name": "ab23"}, "p1": {"description": "", "definition": "a11*v1+a12*v2+a13*v3", "group": "Ungrouped variables", "templateType": "anything", "name": "p1"}, "mad": {"description": "", "definition": "matrix(repeat(repeat(random(-2..9),q),p))", "group": "Ungrouped variables", "templateType": "anything", "name": "mad"}, "s1": {"description": "", "definition": "if(n=p,0.5,-0.5)", "group": "Ungrouped variables", "templateType": "anything", "name": "s1"}, "a33": {"description": "", "definition": "random(1..4)", "group": "Ungrouped variables", "templateType": "anything", "name": "a33"}, "q1": {"description": "", "definition": "b11*w1+b12*w2+b13*w3", "group": "Ungrouped variables", "templateType": "anything", "name": "q1"}, "y": {"description": "", "definition": "u+random(0,z)", "group": "Ungrouped variables", "templateType": "anything", "name": "y"}, "s6": {"description": "", "definition": "if(r=3,0.5,-0.5)", "group": "Ungrouped variables", "templateType": "anything", "name": "s6"}, "b31": {"description": "", "definition": "random(1..3)", "group": "Ungrouped variables", "templateType": "anything", "name": "b31"}, "ab12": {"description": "", "definition": "a11*b12+a12*b22+a13*b32", "group": "Ungrouped variables", "templateType": "anything", "name": "ab12"}, "s": {"description": "", "definition": "random(4..6)", "group": "Ungrouped variables", "templateType": "anything", "name": "s"}, "ba22": {"description": "", "definition": "b21*a12+b22*a22+b23*a32", "group": "Ungrouped variables", "templateType": "anything", "name": "ba22"}, "s10": {"description": "", "definition": "if(u=3,0.5,-0.5)", "group": "Ungrouped variables", "templateType": "anything", "name": "s10"}, "x": {"description": "", "definition": "u+random(0,z)", "group": "Ungrouped variables", "templateType": "anything", "name": "x"}, "p3": {"description": "", "definition": "a31*v1+a32*v2+a33*v3", "group": "Ungrouped variables", "templateType": "anything", "name": "p3"}, "mah": {"description": "", "definition": "matrix(repeat(repeat(random(-2..9),x),y))", "group": "Ungrouped variables", "templateType": "anything", "name": "mah"}, "s5": {"description": "", "definition": "if(m=3,0.5,-0.5)", "group": "Ungrouped variables", "templateType": "anything", "name": "s5"}, "ab33": {"description": "", "definition": "a31*b13+a32*b23+a33*b33", "group": "Ungrouped variables", "templateType": "anything", "name": "ab33"}, "s3": {"description": "", "definition": "if(s=5,0.5,-0.5)", "group": "Ungrouped variables", "templateType": "anything", "name": "s3"}, "q3": {"description": "", "definition": "b31*w1+b32*w2+b33*w3", "group": "Ungrouped variables", "templateType": "anything", "name": "q3"}, "ba12": {"description": "", "definition": "b11*a12+b12*a22+b13*a32", "group": "Ungrouped variables", "templateType": "anything", "name": "ba12"}, "m": {"description": "", "definition": "random(3..4)", "group": "Ungrouped variables", "templateType": "anything", "name": "m"}, "v3": {"description": "", "definition": "random(-5..5)", "group": "Ungrouped variables", "templateType": "anything", "name": "v3"}, "s4": {"description": "", "definition": "if(r=2,0.5,-0.5)", "group": "Ungrouped variables", "templateType": "anything", "name": "s4"}, "mae": {"description": "", "definition": "matrix(repeat(repeat(random(-2..9),s),r))", "group": "Ungrouped variables", "templateType": "anything", "name": "mae"}, "ba31": {"description": "", "definition": "b31*a11+b32*a21+b33*a31", "group": "Ungrouped variables", "templateType": "anything", "name": "ba31"}, "mag": {"description": "", "definition": "matrix(repeat(repeat(random(-2..9),u),w))", "group": "Ungrouped variables", "templateType": "anything", "name": "mag"}, "p2": {"description": "", "definition": "a21*v1+a22*v2+a23*v3", "group": "Ungrouped variables", "templateType": "anything", "name": "p2"}, "b11": {"description": "", "definition": "random(0,1)", "group": "Ungrouped variables", "templateType": "anything", "name": "b11"}, "c13": {"description": "", "definition": "random(1..2)", "group": "Ungrouped variables", "templateType": "anything", "name": "c13"}, "b23": {"description": "", "definition": "random(1,2)", "group": "Ungrouped variables", "templateType": "anything", "name": "b23"}, "ba13": {"description": "", "definition": "b11*a13+b12*a23+b13*a33", "group": "Ungrouped variables", "templateType": "anything", "name": "ba13"}, "a21": {"description": "", "definition": "random(-1,0,1)", "group": "Ungrouped variables", "templateType": "anything", "name": "a21"}, "a12": {"description": "", "definition": "random(-1,1,2)", "group": "Ungrouped variables", "templateType": "anything", "name": "a12"}, "q2": {"description": "", "definition": "b21*w1+b22*w2+b23*w3", "group": "Ungrouped variables", "templateType": "anything", "name": "q2"}, "a23": {"description": "", "definition": "random(-2..2)", "group": "Ungrouped variables", "templateType": "anything", "name": "a23"}, "ba32": {"description": "", "definition": "b31*a12+b32*a22+b33*a32", "group": "Ungrouped variables", "templateType": "anything", "name": "ba32"}, "a31": {"description": "", "definition": "random(1..3)", "group": "Ungrouped variables", "templateType": "anything", "name": "a31"}, "a32": {"description": "", "definition": "random(-4..4)", "group": "Ungrouped variables", "templateType": "anything", "name": "a32"}, "ab32": {"description": "", "definition": "a31*b12+a32*b22+a33*b32", "group": "Ungrouped variables", "templateType": "anything", "name": "ab32"}, "ab31": {"description": "", "definition": "a31*b11+a32*b21+a33*b31", "group": "Ungrouped variables", "templateType": "anything", "name": "ab31"}, "a13": {"description": "", "definition": "random(1..2)", "group": "Ungrouped variables", "templateType": "anything", "name": "a13"}, "w": {"description": "", "definition": "random(3..5)", "group": "Ungrouped variables", "templateType": "anything", "name": "w"}, "ab11": {"description": "", "definition": "a11*b11+a12*b21+a13*b31", "group": "Ungrouped variables", "templateType": "anything", "name": "ab11"}, "r": {"description": "", "definition": "random(1..3)", "group": "Ungrouped variables", "templateType": "anything", "name": "r"}, "n": {"description": "", "definition": "random(3..6 except m)", "group": "Ungrouped variables", "templateType": "anything", "name": "n"}, "b32": {"description": "", "definition": "random(-3..3)", "group": "Ungrouped variables", "templateType": "anything", "name": "b32"}, "w2": {"description": "", "definition": "random(-4..4)", "group": "Ungrouped variables", "templateType": "anything", "name": "w2"}, "q": {"description": "", "definition": "m+random(0,z)", "group": "Ungrouped variables", "templateType": "anything", "name": "q"}, "ab22": {"description": "", "definition": "a21*b12+a22*b22+a23*b32", "group": "Ungrouped variables", "templateType": "anything", "name": "ab22"}, "c12": {"description": "", "definition": "random(1..3)", "group": "Ungrouped variables", "templateType": "anything", "name": "c12"}, "mac": {"description": "", "definition": "matrix(repeat(repeat(random(-2..9),n),m))", "group": "Ungrouped variables", "templateType": "anything", "name": "mac"}, "ba21": {"description": "", "definition": "b21*a11+b22*a21+b23*a31", "group": "Ungrouped variables", "templateType": "anything", "name": "ba21"}, "b22": {"description": "", "definition": "random(-4,-3,-2,-1,1,2,3,4)", "group": "Ungrouped variables", "templateType": "anything", "name": "b22"}, "s8": {"description": "", "definition": "if(x=r,0.5,-0.5)", "group": "Ungrouped variables", "templateType": "anything", "name": "s8"}, "w1": {"description": "", "definition": "random(4..6)", "group": "Ungrouped variables", "templateType": "anything", "name": "w1"}, "z": {"description": "", "definition": "random(-2,-1,1,2)", "group": "Ungrouped variables", "templateType": "anything", "name": "z"}, "b21": {"description": "", "definition": "random(0..2)", "group": "Ungrouped variables", "templateType": "anything", "name": "b21"}, "ab21": {"description": "", "definition": "a21*b11+a22*b21+a23*b31", "group": "Ungrouped variables", "templateType": "anything", "name": "ab21"}, "a22": {"description": "", "definition": "random(-4,-3,-2,-1,1,2,3,5)", "group": "Ungrouped variables", "templateType": "anything", "name": "a22"}, "v1": {"description": "", "definition": "random(-3..3)", "group": "Ungrouped variables", "templateType": "anything", "name": "v1"}, "b13": {"description": "", "definition": "random(-2..2)", "group": "Ungrouped variables", "templateType": "anything", "name": "b13"}, "s2": {"description": "", "definition": "if(q=m,0.5,-0.5)", "group": "Ungrouped variables", "templateType": "anything", "name": "s2"}, "v2": {"description": "", "definition": "random(1..4)", "group": "Ungrouped variables", "templateType": "anything", "name": "v2"}, "ab13": {"description": "", "definition": "a11*b13+a12*b23+a13*b33", "group": "Ungrouped variables", "templateType": "anything", "name": "ab13"}, "a11": {"description": "", "definition": "random(1..4)", "group": "Ungrouped variables", "templateType": "anything", "name": "a11"}, "s9": {"description": "", "definition": "if(w=3,0.5,-0.5)", "group": "Ungrouped variables", "templateType": "anything", "name": "s9"}}, "advice": "", "ungrouped_variables": ["ba21", "a21", "a22", "a23", "b23", "b22", "b21", "ba22", "w3", "w2", "w1", "ba11", "a11", "ba13", "p1", "q1", "q", "q3", "q2", "ab23", "ab22", "ab21", "s3", "s2", "s1", "a12", "s7", "s6", "s5", "s4", "b12", "b13", "b11", "c13", "c12", "c11", "a33", "a32", "a31", "ba32", "ba33", "a13", "ba31", "s10", "s9", "b32", "b31", "v1", "v2", "v3", "mae", "mad", "mag", "mah", "ba12", "b33", "p2", "p3", "ba23", "ab11", "ab31", "ab32", "ab33", "ab12", "m", "s8", "n", "mac", "p", "s", "r", "u", "w", "v", "y", "x", "z", "ab13"], "name": "Alison's copy of Ex 3 Matrix Multiplication 2", "rulesets": {"std": ["all", "!collectNumbers", "fractionNumbers", "!noLeadingMinus"]}, "preamble": {"css": "", "js": ""}, "tags": [], "variable_groups": [], "statement": "<p>Answer the following questions on matrices.</p>\n    <p>&nbsp;</p>", "variablesTest": {"condition": "", "maxRuns": 100}, "parts": [{"type": "gapfill", "showCorrectAnswer": true, "gaps": [{"type": "numberentry", "showCorrectAnswer": true, "unitTests": [], "variableReplacementStrategy": "originalfirst", "maxValue": "{p1}", "marks": 0.5, "showFeedbackIcon": true, "mustBeReducedPC": 0, "customMarkingAlgorithm": "", "minValue": "{p1}", "scripts": {}, "mustBeReduced": false, "correctAnswerStyle": "plain", "correctAnswerFraction": false, "variableReplacements": [], "notationStyles": ["plain", "en", "si-en"], "extendBaseMarkingAlgorithm": true, "allowFractions": false}, {"type": "numberentry", "showCorrectAnswer": true, "unitTests": [], "variableReplacementStrategy": "originalfirst", "maxValue": "{p2}", "marks": 0.5, "showFeedbackIcon": true, "mustBeReducedPC": 0, "customMarkingAlgorithm": "", "minValue": "{p2}", "scripts": {}, "mustBeReduced": false, "correctAnswerStyle": "plain", "correctAnswerFraction": false, "variableReplacements": [], "notationStyles": ["plain", "en", "si-en"], "extendBaseMarkingAlgorithm": true, "allowFractions": false}, {"type": "numberentry", "showCorrectAnswer": true, "unitTests": [], "variableReplacementStrategy": "originalfirst", "maxValue": "{p3}", "marks": 0.5, "showFeedbackIcon": true, "mustBeReducedPC": 0, "customMarkingAlgorithm": "", "minValue": "{p3}", "scripts": {}, "mustBeReduced": false, "correctAnswerStyle": "plain", "correctAnswerFraction": false, "variableReplacements": [], "notationStyles": ["plain", "en", "si-en"], "extendBaseMarkingAlgorithm": true, "allowFractions": false}, {"type": "numberentry", "showCorrectAnswer": true, "unitTests": [], "variableReplacementStrategy": "originalfirst", "maxValue": "{q1}", "marks": 0.5, "showFeedbackIcon": true, "mustBeReducedPC": 0, "customMarkingAlgorithm": "", "minValue": "{q1}", "scripts": {}, "mustBeReduced": false, "correctAnswerStyle": "plain", "correctAnswerFraction": false, "variableReplacements": [], "notationStyles": ["plain", "en", "si-en"], "extendBaseMarkingAlgorithm": true, "allowFractions": false}, {"type": "numberentry", "showCorrectAnswer": true, "unitTests": [], "variableReplacementStrategy": "originalfirst", "maxValue": "{q2}", "marks": 0.5, "showFeedbackIcon": true, "mustBeReducedPC": 0, "customMarkingAlgorithm": "", "minValue": "{q2}", "scripts": {}, "mustBeReduced": false, "correctAnswerStyle": "plain", "correctAnswerFraction": false, "variableReplacements": [], "notationStyles": ["plain", "en", "si-en"], "extendBaseMarkingAlgorithm": true, "allowFractions": false}, {"type": "numberentry", "showCorrectAnswer": true, "unitTests": [], "variableReplacementStrategy": "originalfirst", "maxValue": "{q3}", "marks": 0.5, "showFeedbackIcon": true, "mustBeReducedPC": 0, "customMarkingAlgorithm": "", "minValue": "{q3}", "scripts": {}, "mustBeReduced": false, "correctAnswerStyle": "plain", "correctAnswerFraction": false, "variableReplacements": [], "notationStyles": ["plain", "en", "si-en"], "extendBaseMarkingAlgorithm": true, "allowFractions": false}, {"type": "numberentry", "showCorrectAnswer": true, "unitTests": [], "variableReplacementStrategy": "originalfirst", "maxValue": "{ba11}", "marks": 0.5, "showFeedbackIcon": true, "mustBeReducedPC": 0, "customMarkingAlgorithm": "", "minValue": "{ba11}", "scripts": {}, "mustBeReduced": false, "correctAnswerStyle": "plain", "correctAnswerFraction": false, "variableReplacements": [], "notationStyles": ["plain", "en", "si-en"], "extendBaseMarkingAlgorithm": true, "allowFractions": false}, {"type": "numberentry", "showCorrectAnswer": true, "unitTests": [], "variableReplacementStrategy": "originalfirst", "maxValue": "{ba12}", "marks": 0.5, "showFeedbackIcon": true, "mustBeReducedPC": 0, "customMarkingAlgorithm": "", "minValue": "{ba12}", "scripts": {}, "mustBeReduced": false, "correctAnswerStyle": "plain", "correctAnswerFraction": false, "variableReplacements": [], "notationStyles": ["plain", "en", "si-en"], "extendBaseMarkingAlgorithm": true, "allowFractions": false}, {"type": "numberentry", "showCorrectAnswer": true, "unitTests": [], "variableReplacementStrategy": "originalfirst", "maxValue": "{ba13}", "marks": 0.5, "showFeedbackIcon": true, "mustBeReducedPC": 0, "customMarkingAlgorithm": "", "minValue": "{ba13}", "scripts": {}, "mustBeReduced": false, "correctAnswerStyle": "plain", "correctAnswerFraction": false, "variableReplacements": [], "notationStyles": ["plain", "en", "si-en"], "extendBaseMarkingAlgorithm": true, "allowFractions": false}, {"type": "numberentry", "showCorrectAnswer": true, "unitTests": [], "variableReplacementStrategy": "originalfirst", "maxValue": "{ba21}", "marks": 0.5, "showFeedbackIcon": true, "mustBeReducedPC": 0, "customMarkingAlgorithm": "", "minValue": "{ba21}", "scripts": {}, "mustBeReduced": false, "correctAnswerStyle": "plain", "correctAnswerFraction": false, "variableReplacements": [], "notationStyles": ["plain", "en", "si-en"], "extendBaseMarkingAlgorithm": true, "allowFractions": false}, {"type": "numberentry", "showCorrectAnswer": true, "unitTests": [], "variableReplacementStrategy": "originalfirst", "maxValue": "{ba22}", "marks": 0.5, "showFeedbackIcon": true, "mustBeReducedPC": 0, "customMarkingAlgorithm": "", "minValue": "{ba22}", "scripts": {}, "mustBeReduced": false, "correctAnswerStyle": "plain", "correctAnswerFraction": false, "variableReplacements": [], "notationStyles": ["plain", "en", "si-en"], "extendBaseMarkingAlgorithm": true, "allowFractions": false}, {"type": "numberentry", "showCorrectAnswer": true, "unitTests": [], "variableReplacementStrategy": "originalfirst", "maxValue": "{ba23}", "marks": 0.5, "showFeedbackIcon": true, "mustBeReducedPC": 0, "customMarkingAlgorithm": "", "minValue": "{ba23}", "scripts": {}, "mustBeReduced": false, "correctAnswerStyle": "plain", "correctAnswerFraction": false, "variableReplacements": [], "notationStyles": ["plain", "en", "si-en"], "extendBaseMarkingAlgorithm": true, "allowFractions": false}, {"type": "numberentry", "showCorrectAnswer": true, "unitTests": [], "variableReplacementStrategy": "originalfirst", "maxValue": "{ba31}", "marks": 0.5, "showFeedbackIcon": true, "mustBeReducedPC": 0, "customMarkingAlgorithm": "", "minValue": "{ba31}", "scripts": {}, "mustBeReduced": false, "correctAnswerStyle": "plain", "correctAnswerFraction": false, "variableReplacements": [], "notationStyles": ["plain", "en", "si-en"], "extendBaseMarkingAlgorithm": true, "allowFractions": false}, {"type": "numberentry", "showCorrectAnswer": true, "unitTests": [], "variableReplacementStrategy": "originalfirst", "maxValue": "{ba32}", "marks": 0.5, "showFeedbackIcon": true, "mustBeReducedPC": 0, "customMarkingAlgorithm": "", "minValue": "{ba32}", "scripts": {}, "mustBeReduced": false, "correctAnswerStyle": "plain", "correctAnswerFraction": false, "variableReplacements": [], "notationStyles": ["plain", "en", "si-en"], "extendBaseMarkingAlgorithm": true, "allowFractions": false}, {"type": "numberentry", "showCorrectAnswer": true, "unitTests": [], "variableReplacementStrategy": "originalfirst", "maxValue": "{ba33}", "marks": 0.5, "showFeedbackIcon": true, "mustBeReducedPC": 0, "customMarkingAlgorithm": "", "minValue": "{ba33}", "scripts": {}, "mustBeReduced": false, "correctAnswerStyle": "plain", "correctAnswerFraction": false, "variableReplacements": [], "notationStyles": ["plain", "en", "si-en"], "extendBaseMarkingAlgorithm": true, "allowFractions": false}, {"type": "numberentry", "showCorrectAnswer": true, "unitTests": [], "variableReplacementStrategy": "originalfirst", "maxValue": "{ab11}", "marks": 0.5, "showFeedbackIcon": true, "mustBeReducedPC": 0, "customMarkingAlgorithm": "", "minValue": "{ab11}", "scripts": {}, "mustBeReduced": false, "correctAnswerStyle": "plain", "correctAnswerFraction": false, "variableReplacements": [], "notationStyles": ["plain", "en", "si-en"], "extendBaseMarkingAlgorithm": true, "allowFractions": false}, {"type": "numberentry", "showCorrectAnswer": true, "unitTests": [], "variableReplacementStrategy": "originalfirst", "maxValue": "{ab12}", "marks": 0.5, "showFeedbackIcon": true, "mustBeReducedPC": 0, "customMarkingAlgorithm": "", "minValue": "{ab12}", "scripts": {}, "mustBeReduced": false, "correctAnswerStyle": "plain", "correctAnswerFraction": false, "variableReplacements": [], "notationStyles": ["plain", "en", "si-en"], "extendBaseMarkingAlgorithm": true, "allowFractions": false}, {"type": "numberentry", "showCorrectAnswer": true, "unitTests": [], "variableReplacementStrategy": "originalfirst", "maxValue": "{ab13}", "marks": 0.5, "showFeedbackIcon": true, "mustBeReducedPC": 0, "customMarkingAlgorithm": "", "minValue": "{ab13}", "scripts": {}, "mustBeReduced": false, "correctAnswerStyle": "plain", "correctAnswerFraction": false, "variableReplacements": [], "notationStyles": ["plain", "en", "si-en"], "extendBaseMarkingAlgorithm": true, "allowFractions": false}, {"type": "numberentry", "showCorrectAnswer": true, "unitTests": [], "variableReplacementStrategy": "originalfirst", "maxValue": "{ab21}", "marks": 0.5, "showFeedbackIcon": true, "mustBeReducedPC": 0, "customMarkingAlgorithm": "", "minValue": "{ab21}", "scripts": {}, "mustBeReduced": false, "correctAnswerStyle": "plain", "correctAnswerFraction": false, "variableReplacements": [], "notationStyles": ["plain", "en", "si-en"], "extendBaseMarkingAlgorithm": true, "allowFractions": false}, {"type": "numberentry", "showCorrectAnswer": true, "unitTests": [], "variableReplacementStrategy": "originalfirst", "maxValue": "{ab22}", "marks": 0.5, "showFeedbackIcon": true, "mustBeReducedPC": 0, "customMarkingAlgorithm": "", "minValue": "{ab22}", "scripts": {}, "mustBeReduced": false, "correctAnswerStyle": "plain", "correctAnswerFraction": false, "variableReplacements": [], "notationStyles": ["plain", "en", "si-en"], "extendBaseMarkingAlgorithm": true, "allowFractions": false}, {"type": "numberentry", "showCorrectAnswer": true, "unitTests": [], "variableReplacementStrategy": "originalfirst", "maxValue": "{ab23}", "marks": 0.5, "showFeedbackIcon": true, "mustBeReducedPC": 0, "customMarkingAlgorithm": "", "minValue": "{ab23}", "scripts": {}, "mustBeReduced": false, "correctAnswerStyle": "plain", "correctAnswerFraction": false, "variableReplacements": [], "notationStyles": ["plain", "en", "si-en"], "extendBaseMarkingAlgorithm": true, "allowFractions": false}, {"type": "numberentry", "showCorrectAnswer": true, "unitTests": [], "variableReplacementStrategy": "originalfirst", "maxValue": "{ab31}", "marks": 0.5, "showFeedbackIcon": true, "mustBeReducedPC": 0, "customMarkingAlgorithm": "", "minValue": "{ab31}", "scripts": {}, "mustBeReduced": false, "correctAnswerStyle": "plain", "correctAnswerFraction": false, "variableReplacements": [], "notationStyles": ["plain", "en", "si-en"], "extendBaseMarkingAlgorithm": true, "allowFractions": false}, {"type": "numberentry", "showCorrectAnswer": true, "unitTests": [], "variableReplacementStrategy": "originalfirst", "maxValue": "{ab32}", "marks": 0.5, "showFeedbackIcon": true, "mustBeReducedPC": 0, "customMarkingAlgorithm": "", "minValue": "{ab32}", "scripts": {}, "mustBeReduced": false, "correctAnswerStyle": "plain", "correctAnswerFraction": false, "variableReplacements": [], "notationStyles": ["plain", "en", "si-en"], "extendBaseMarkingAlgorithm": true, "allowFractions": false}, {"type": "numberentry", "showCorrectAnswer": true, "unitTests": [], "variableReplacementStrategy": "originalfirst", "maxValue": "{ab33}", "marks": 0.5, "showFeedbackIcon": true, "mustBeReducedPC": 0, "customMarkingAlgorithm": "", "minValue": "{ab33}", "scripts": {}, "mustBeReduced": false, "correctAnswerStyle": "plain", "correctAnswerFraction": false, "variableReplacements": [], "notationStyles": ["plain", "en", "si-en"], "extendBaseMarkingAlgorithm": true, "allowFractions": false}], "variableReplacementStrategy": "originalfirst", "marks": 0, "showFeedbackIcon": true, "prompt": "<p>Let</p>\n<p>\\[A = \\left(\\begin{array}{rrr} \\var{a11} &amp; \\var{a12} &amp; \\var{a13}\\\\ \\var{a21} &amp; \\var{a22} &amp; \\var{a23}\\\\ \\var{a31} &amp; \\var{a32} &amp; \\var{a33}\\\\ \\end{array}\\right),\\;\\;\\;\\; B= \\left(\\begin{array}{rrr} \\var{b11} &amp; \\var{b12} &amp; \\var{b13}\\\\ \\var{b21} &amp; \\var{b22} &amp; \\var{b23}\\\\ \\var{b31} &amp; \\var{b32} &amp; \\var{b33}\\\\ \\end{array}\\right),\\;\\;\\;\\; v= \\left(\\begin{array}{r} \\var{v1}\\\\ \\var{v2} \\\\ \\var{v3} \\end{array}\\right),\\;\\;\\;\\; w= \\left(\\begin{array}{r} \\var{w1}\\\\ \\var{w2} \\\\ \\var{w3} \\end{array}\\right)\\]</p>\n<p>Find the following products:</p>\n<table>\n<tbody>\n<tr>\n<td rowspan=\"3\">\\[ Av=\\left( \\begin{matrix} \\phantom{.}\\\\ \\phantom{.}\\\\ \\phantom{.}\\\\ \\phantom{.}\\\\ \\end{matrix} \\right.\\]</td>\n<td>[[0]]</td>\n<td rowspan=\"3\">\\[\\left) \\begin{matrix} \\phantom{.} \\\\ \\phantom{.}\\\\ \\phantom{.}\\\\ \\phantom{.}\\\\ \\end{matrix} \\right.\\]</td>\n</tr>\n<tr>\n<td>[[1]]</td>\n</tr>\n<tr>\n<td>[[2]]</td>\n</tr>\n<tr>\n<td rowspan=\"3\">\\[ Bw=\\left( \\begin{matrix} \\phantom{.}\\\\ \\phantom{.}\\\\ \\phantom{.}\\\\ \\phantom{.}\\\\ \\end{matrix} \\right.\\]</td>\n<td>[[3]]</td>\n<td rowspan=\"3\">\\[\\left) \\begin{matrix} \\phantom{.} \\\\ \\phantom{.}\\\\ \\phantom{.}\\\\ \\phantom{.}\\\\ \\end{matrix} \\right.\\]</td>\n</tr>\n<tr>\n<td>[[4]]</td>\n</tr>\n<tr>\n<td>[[5]]</td>\n</tr>\n</tbody>\n</table>\n<table>\n<tbody>\n<tr>\n<td rowspan=\"3\">\\[BA=\\left( \\begin{matrix} \\phantom{.}\\\\ \\phantom{.}\\\\ \\phantom{.}\\\\ \\phantom{.}\\\\ \\end{matrix} \\right.\\]</td>\n<td>[[6]]</td>\n<td>[[7]]</td>\n<td>[[8]]</td>\n<td rowspan=\"3\">\\[\\left) \\begin{matrix} \\phantom{.} \\\\ \\phantom{.}\\\\ \\phantom{.}\\\\ \\phantom{.}\\\\ \\end{matrix} \\right.\\]</td>\n</tr>\n<tr>\n<td>[[9]]</td>\n<td>[[10]]</td>\n<td>[[11]]</td>\n</tr>\n<tr>\n<td>[[12]]</td>\n<td>[[13]]</td>\n<td>[[14]]</td>\n</tr>\n</tbody>\n</table>\n<table>\n<tbody>\n<tr>\n<td rowspan=\"3\">\\[AB=\\left( \\begin{matrix} \\phantom{.}\\\\ \\phantom{.}\\\\ \\phantom{.}\\\\ \\phantom{.}\\\\ \\end{matrix} \\right.\\]</td>\n<td>[[15]]</td>\n<td>[[16]]</td>\n<td>[[17]]</td>\n<td rowspan=\"3\">\\[\\left) \\begin{matrix} \\phantom{.} \\\\ \\phantom{.}\\\\ \\phantom{.}\\\\ \\phantom{.}\\\\ \\end{matrix} \\right.\\]</td>\n</tr>\n<tr>\n<td>[[18]]</td>\n<td>[[19]]</td>\n<td>[[20]]</td>\n</tr>\n<tr>\n<td>[[21]]</td>\n<td>[[22]]</td>\n<td>[[23]]</td>\n</tr>\n</tbody>\n</table>", "customMarkingAlgorithm": "", "unitTests": [], "sortAnswers": false, "variableReplacements": [], "scripts": {}, "extendBaseMarkingAlgorithm": true}, {"type": "gapfill", "showCorrectAnswer": true, "gaps": [{"showCorrectAnswer": true, "unitTests": [], "shuffleChoices": true, "layout": {"type": "all", "expression": ""}, "minAnswers": 0, "matrix": "v", "choices": ["<p>$CD$</p>", "<p>$DC$</p>", "<p>$EF$</p>", "<p>$FE$</p>", "<p>$BC$</p>", "<p>$AE$</p>", "<p>$GH$</p>", "<p>$HE$</p>", "<p>$AG$</p>", "<p>$GB$</p>"], "minMarks": 0, "scripts": {}, "extendBaseMarkingAlgorithm": true, "type": "m_n_x", "marks": 0, "maxAnswers": 0, "variableReplacementStrategy": "originalfirst", "displayType": "radiogroup", "customMarkingAlgorithm": "", "maxMarks": 0, "showFeedbackIcon": true, "warningType": "none", "variableReplacements": [], "answers": ["<strong>Can be calculated</strong>", "<strong>Cannot be calculated</strong>"], "shuffleAnswers": false}], "variableReplacementStrategy": "originalfirst", "marks": 0, "showFeedbackIcon": true, "prompt": "<p>Consider the following matrices together with the matrices from the first part of the question.</p>\n        <p>\\[\\begin{eqnarray}&amp;C=&amp; \\var{mac},\\;\\;\\;\\; &amp;D=&amp; \\var{mad},\\;\\;\\; \\;&amp;E= &amp;\\var{mae}\\\\&amp;F=&amp; \\left(\\begin{array}{rr} \\var{w1} &amp; \\var{a12}\\\\ \\var{w2} &amp; \\var{b23} \\\\ \\var{w3} &amp; \\var{w2} \\\\\\var{v1} &amp; \\var{b12}\\\\ 0 &amp; \\var{-w2} \\end{array}\\right),\\;\\;\\;\\;&amp;G=&amp;\\var{mag},\\;\\;\\;\\;&amp;H=&amp;\\var{mah} \\end{eqnarray}\\]</p>\n        <p>Which of the following products of matrices can be calculated?</p>\n        <p>[[0]]</p>\n        <p><strong>Please note that for every correct answer you get 0.5 marks and for every incorrect answer 0.5 is taken away. The minimum mark you can get is 0.</strong></p>", "customMarkingAlgorithm": "", "unitTests": [], "sortAnswers": false, "variableReplacements": [], "scripts": {}, "extendBaseMarkingAlgorithm": true}], "extensions": ["stats"], "functions": {}, "type": "question", "contributors": [{"name": "Violeta CIT", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1030/"}, {"name": "Louise Lynch", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2197/"}, {"name": "Alison Loddick", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2871/"}]}]}], "contributors": [{"name": "Violeta CIT", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1030/"}, {"name": "Louise Lynch", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2197/"}, {"name": "Alison Loddick", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2871/"}]}