// Numbas version: finer_feedback_settings
{"name": "LM02 Adding matrices", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "LM02 Adding matrices", "tags": [], "metadata": {"description": "<p>Generates two sets of matrices that can be added and asks the student to add them. Will ensure that the dimensions in part a) are different to the dimensions in part b) to offer some variety.</p>", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "<p><strong>Adding Matrices</strong></p>\n<p>Calculate the following:</p>", "advice": "<p>Matrix addition is fairly straightforward in that each entry is calculated by adding the corresponding entries. For example the top left entry of the answer to part a) can be calculated as $\\var{A[0][0]} + \\var{Apair[0][0]} = \\var{A[0][0] + Apair[0][0]}$. So for this question:</p>\n<p>a) $\\var{A}+\\var{Apair} = \\var{A+Apair}$</p>\n<p>b) $\\var{B}+\\var{Bpair} = \\var{B+Bpair}$</p>\n<p><strong><a href=\"https://www.sheffield.ac.uk/mash/maths-resources/next-steps#Matrices\" target=\"_blank\" rel=\"noopener\">Use this link to find some resources which will help you revise this topic.</a></strong></p>", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true, "j": false}, "constants": [], "variables": {"A": {"name": "A", "group": "Ungrouped variables", "definition": "matrix(repeat(repeat(random(-9..9),col[0]),row[0]))", "description": "", "templateType": "anything", "can_override": false}, "col": {"name": "col", "group": "Ungrouped variables", "definition": "repeat(random(2..3),3)", "description": "", "templateType": "anything", "can_override": false}, "row": {"name": "row", "group": "Ungrouped variables", "definition": "repeat(random(2..3),3)", "description": "", "templateType": "anything", "can_override": false}, "B": {"name": "B", "group": "Ungrouped variables", "definition": "matrix(repeat(repeat(random(-9..9),col[1]),row[1]))", "description": "", "templateType": "anything", "can_override": false}, "C": {"name": "C", "group": "Ungrouped variables", "definition": "matrix(repeat(repeat(random(-9..9),col[2]),row[2]))", "description": "", "templateType": "anything", "can_override": false}, "Apair": {"name": "Apair", "group": "Ungrouped variables", "definition": "matrix(repeat(repeat(random(-9..9),col[0]),row[0]))", "description": "", "templateType": "anything", "can_override": false}, "Bpair": {"name": "Bpair", "group": "Ungrouped variables", "definition": "matrix(repeat(repeat(random(-9..9),col[1]),row[1]))", "description": "", "templateType": "anything", "can_override": false}, "Cpair": {"name": "Cpair", "group": "Ungrouped variables", "definition": "matrix(repeat(repeat(random(-9..9),col[2]),row[2]))", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "col[0]<>row[0] AND col[0]<>col[1]", "maxRuns": 100}, "ungrouped_variables": ["col", "row", "A", "Apair", "B", "Bpair", "C", "Cpair"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "matrix", "useCustomName": true, "customName": "a)", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>$\\var{A} + \\var{Apair}=$</p>", "correctAnswer": "{A}+{Apair}", "correctAnswerFractions": false, "numRows": "{row[0]}", "numColumns": "{col[0]}", "allowResize": false, "tolerance": 0, "markPerCell": false, "allowFractions": false, "minColumns": 1, "maxColumns": 0, "minRows": 1, "maxRows": 0, "prefilledCells": ""}, {"type": "matrix", "useCustomName": true, "customName": "b)", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>$\\var{B} +\\var{Bpair}$</p>", "correctAnswer": "{B}+{Bpair}", "correctAnswerFractions": false, "numRows": "{row[1]}", "numColumns": "{col[1]}", "allowResize": false, "tolerance": 0, "markPerCell": false, "allowFractions": false, "minColumns": 1, "maxColumns": 0, "minRows": 1, "maxRows": 0, "prefilledCells": ""}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Mash Sheffield", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4679/"}, {"name": "Will Morgan", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/21933/"}], "resources": []}]}], "contributors": [{"name": "Mash Sheffield", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4679/"}, {"name": "Will Morgan", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/21933/"}]}