// Numbas version: finer_feedback_settings
{"name": "Matrices: notation", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Matrices: notation", "tags": [], "metadata": {"description": "<p>(a) Read subscript notation to identify an element in a 3x3 matrix; (b) chose the correct subscripted name from a list for a given element in a 3x3 matrix.</p>", "licence": "Creative Commons Attribution-NonCommercial 4.0 International"}, "statement": "<p>$\\quad \\textbf{A}=\\begin{bmatrix} \\var{a1} &amp; \\var{a2} &amp; \\var{a3} \\\\ \\var{b1} &amp; \\var{b2} &amp; \\var{b3} \\\\ \\var{c1} &amp; \\var{c2} &amp; \\var{c3} \\end{bmatrix}$</p>", "advice": "", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true, "j": false}, "constants": [], "variables": {"a1": {"name": "a1", "group": "Elements (random)", "definition": "random(-20..20)", "description": "", "templateType": "anything", "can_override": false}, "a2": {"name": "a2", "group": "Elements (random)", "definition": "random(-20..20 except a1)", "description": "", "templateType": "anything", "can_override": false}, "a3": {"name": "a3", "group": "Elements (random)", "definition": "random(-20..20 except [a1,a2])", "description": "", "templateType": "anything", "can_override": false}, "b1": {"name": "b1", "group": "Elements (random)", "definition": "random(-20..20 except [a1,a2,a3])", "description": "", "templateType": "anything", "can_override": false}, "b2": {"name": "b2", "group": "Elements (random)", "definition": "random(-20..20 except [a1,a2,a3,b1])", "description": "", "templateType": "anything", "can_override": false}, "b3": {"name": "b3", "group": "Elements (random)", "definition": "random(-20..20 except [a1,a2,a3,b1,b2])", "description": "", "templateType": "anything", "can_override": false}, "c1": {"name": "c1", "group": "Elements (random)", "definition": "random(-20..20 except [a1,a2,a3,b1,b2,b3])", "description": "", "templateType": "anything", "can_override": false}, "c2": {"name": "c2", "group": "Elements (random)", "definition": "random(-20..20 except [a1,a2,a3,b1,b2,b3,c1])", "description": "", "templateType": "anything", "can_override": false}, "c3": {"name": "c3", "group": "Elements (random)", "definition": "random(-20..20 except [a1,a2,a3,b1,b2,b3,c1,c2])", "description": "", "templateType": "anything", "can_override": false}, "randel": {"name": "randel", "group": "Part B - a randomly selected element", "definition": "random(a1p,a2p,a3p,b1p,b2p,b3p,c1p,c2p,c3p)", "description": "", "templateType": "anything", "can_override": false}, "a1p": {"name": "a1p", "group": "Elements and their positions", "definition": "[a1,1,1]", "description": "", "templateType": "anything", "can_override": false}, "a2p": {"name": "a2p", "group": "Elements and their positions", "definition": "[a2,1,2]", "description": "", "templateType": "anything", "can_override": false}, "a3p": {"name": "a3p", "group": "Elements and their positions", "definition": "[a3,1,3]", "description": "", "templateType": "anything", "can_override": false}, "randel_element": {"name": "randel_element", "group": "Part B - a randomly selected element", "definition": "randel[0]", "description": "", "templateType": "anything", "can_override": false}, "randel_i": {"name": "randel_i", "group": "Part B - a randomly selected element", "definition": "randel[1]", "description": "", "templateType": "anything", "can_override": false}, "randel_j": {"name": "randel_j", "group": "Part B - a randomly selected element", "definition": "randel[2]", "description": "", "templateType": "anything", "can_override": false}, "b1p": {"name": "b1p", "group": "Elements and their positions", "definition": "[b1,2,1]", "description": "", "templateType": "anything", "can_override": false}, "b2p": {"name": "b2p", "group": "Elements and their positions", "definition": "[b2,2,2]", "description": "", "templateType": "anything", "can_override": false}, "b3p": {"name": "b3p", "group": "Elements and their positions", "definition": "[b3,2,3]", "description": "", "templateType": "anything", "can_override": false}, "c1p": {"name": "c1p", "group": "Elements and their positions", "definition": "[c1,3,1]", "description": "", "templateType": "anything", "can_override": false}, "c2p": {"name": "c2p", "group": "Elements and their positions", "definition": "[c2,3,2]", "description": "", "templateType": "anything", "can_override": false}, "c3p": {"name": "c3p", "group": "Elements and their positions", "definition": "[c3,3,3]", "description": "", "templateType": "anything", "can_override": false}, "wrongi": {"name": "wrongi", "group": "Elements that aren't randel", "definition": "random(1..3 except randel_i)", "description": "", "templateType": "anything", "can_override": false}, "wrongj": {"name": "wrongj", "group": "Elements that aren't randel", "definition": "random(1..3 except randel_j)", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [{"name": "Elements and their positions", "variables": ["a1p", "a2p", "a3p", "b1p", "b2p", "b3p", "c1p", "c2p", "c3p"]}, {"name": "Part B - a randomly selected element", "variables": ["randel", "randel_element", "randel_i", "randel_j"]}, {"name": "Elements (random)", "variables": ["a1", "a2", "a3", "b1", "b2", "b3", "c1", "c2", "c3"]}, {"name": "Elements that aren't randel", "variables": ["wrongi", "wrongj"]}], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>$a_{1,1}=$[[0]]</p>\n<p>$a_{1,3}=$[[1]]</p>\n<p>$a_{3,1}=$[[2]]</p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "a1", "maxValue": "a1", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "a3", "maxValue": "a3", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "c1", "maxValue": "c1", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>How would you notate the position of the element $\\var{randel_element}$ in the matrix above?</p>", "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "radiogroup", "displayColumns": 0, "showBlankOption": true, "showCellAnswerState": true, "choices": ["$a_{\\var{randel_i},\\var{wrongj}}$", "$a_{\\var{wrongi},\\var{randel_j}}$", "$a_{\\var{wrongi},\\var{wrongj}}$", "$a_{\\var{randel_i},\\var{randel_j}}$"], "matrix": [0, 0, "0", "1"], "distractors": ["", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Will Roberts", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/32402/"}], "resources": []}]}], "contributors": [{"name": "Will Roberts", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/32402/"}]}