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{"name": "Can you add these matrices?", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Can you add these matrices?", "tags": [], "metadata": {"description": "<p>Decide if matrix sizes match so they can be added.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p>Decide if the following matrices can be added or not.</p>", "advice": "<p>We can add matrices of the same size. That means they have to have the same number of rows <em>and</em> the same number of columns.</p>\n<p><span data-jme-visible=\"d=1\">Both matrices have size \\(\\var{m1}\\times \\var{n1}\\), so we can add them.</span> <span data-jme-visible=\"d=2\">The matrices have the same number of columns, but not the same number of rows. So we cannot add them.</span> <span data-jme-visible=\"d=3\">The matrices have the same number or rows, but not the same number of columns. So we cannot add them.</span> <span data-jme-visible=\"d=4\">The matrices have different sizes, so we cannot add them.</span></p>", "rulesets": {}, "extensions": [], "variables": {"m1": {"name": "m1", "group": "Ungrouped variables", "definition": "random(1..5)", "description": "<p>number of rows of first matrix</p>", "templateType": "anything"}, "m2": {"name": "m2", "group": "Ungrouped variables", "definition": "switch(d=1,m1,d=2,random(1..5 except m1),d=3,m1,d=4,random(1..5 except m1),m1)", "description": "<p>number of rows of second matrix, sometimes the same sometimes different to the first matrix, depending on d</p>", "templateType": "anything"}, "d": {"name": "d", "group": "Ungrouped variables", "definition": "random(1..4)", "description": "<p>determines the case</p>", "templateType": "anything"}, "n1": {"name": "n1", "group": "Ungrouped variables", "definition": "random(1..5)", "description": "<p>number of columns of first matrix</p>", "templateType": "anything"}, "n2": {"name": "n2", "group": "Ungrouped variables", "definition": "switch(d=1,n1,d=2,n1,d=3,random(1..5 except n1),d=4,random(1..5 except n1),n1)", "description": "<p>number of rows of second matrix, sometimes the same sometimes different to the first matrix, depending on d</p>", "templateType": "anything"}, "A": {"name": "A", "group": "Ungrouped variables", "definition": "matrix(repeat(repeat(random(-10..10),n1),m1))", "description": "", "templateType": "anything"}, "B": {"name": "B", "group": "Ungrouped variables", "definition": "matrix(repeat(repeat(random(-10..10),n2),m2))", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["m1", "m2", "n1", "n2", "d", "A", "B"], "variable_groups": [], "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>\\(\\var{A}+\\var{B}\\)</p>\n<p>[[0]]</p>", "gaps": [{"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, "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["can add", "cannot add"], "matrix": "switch(d=1,[1,0],d<>1,[0,1],[1,0])"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Julia Goedecke", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/5121/"}]}]}], "contributors": [{"name": "Julia Goedecke", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/5121/"}]}