// Numbas version: exam_results_page_options
{"name": "Matrices: adding and subtracting two 3x3 matrices", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"tags": [], "ungrouped_variables": ["matrices"], "functions": {}, "variables": {"matrices": {"templateType": "anything", "description": "<p>A couple of random matrices to add</p>", "name": "matrices", "definition": "repeat(matrix(repeat(repeat(random(0..10)*random(1,1,1,-1),3),3)),3)", "group": "Ungrouped variables"}}, "statement": "<p>You will possibly need to adjust the number of rows and the number of columns your solution requires by entering the correct values for your solution; the template will then alter to hold your solution.</p>", "rulesets": {}, "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "<p>Adding and subtracting two 3x3 matrices.</p>"}, "preamble": {"js": "", "css": ""}, "name": "Matrices: adding and subtracting two 3x3 matrices", "variablesTest": {"condition": "", "maxRuns": 100}, "parts": [{"showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "gaps": [{"showCorrectAnswer": true, "showFeedbackIcon": true, "allowFractions": false, "correctAnswerFractions": false, "scripts": {}, "type": "matrix", "numColumns": 1, "markPerCell": false, "variableReplacementStrategy": "originalfirst", "allowResize": true, "tolerance": 0, "variableReplacements": [], "numRows": 1, "marks": 1, "correctAnswer": "matrices[0]+matrices[1]"}], "showFeedbackIcon": true, "prompt": "<p>What is $\\simplify{{matrices[0]}+{matrices[1]}}$?</p>\n<p>[[0]]</p>", "scripts": {}, "type": "gapfill", "marks": 0, "variableReplacements": []}, {"showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "gaps": [{"showCorrectAnswer": true, "showFeedbackIcon": true, "allowFractions": false, "correctAnswerFractions": false, "scripts": {}, "type": "matrix", "numColumns": 1, "markPerCell": false, "variableReplacementStrategy": "originalfirst", "allowResize": true, "tolerance": 0, "variableReplacements": [], "numRows": 1, "marks": 1, "correctAnswer": "matrices[0]-matrices[1]"}], "showFeedbackIcon": true, "prompt": "<p>What is $\\simplify{{matrices[0]}-{matrices[1]}}$?</p>\n<p>[[0]]</p>", "scripts": {}, "type": "gapfill", "marks": 0, "variableReplacements": []}], "extensions": [], "variable_groups": [], "advice": "<p>Remember : matrix multiplication requires each row of the first matrix A be multiplied by each column of the second matrix B:</p>\n<p>If \\[&nbsp; A=\\left( \\begin{array}{ccc}<br/>a &amp; b &amp; c&nbsp; \\\\d&nbsp;&amp;&nbsp;e&nbsp;&amp; f\\\\g &amp; h &amp; j&nbsp;\\end{array} \\right),\\]</p>\n<p style=\"text-align: left;\">and \\[ B=\\left( \\begin{array}{ccc}<br/>k&nbsp;&amp; l &amp; m \\\\n &amp; p &amp; q\\\\r &amp; s&nbsp;&amp; t\\end{array} \\right)\\],</p>\n<p>then \\[ A+B=\\left( \\begin{array}{ccc}<br/>a+k &amp; b+l &amp;&nbsp;c+m\\\\d+n &amp; e+p &amp;&nbsp;f+q&nbsp;&nbsp; \\\\g+r &amp; h+s &amp;&nbsp;j+t<br/>\\end{array} \\right)\\]</p>\n<p>\\[ A-B=\\left( \\begin{array}{ccc}<br/>a-k &amp; b-l &amp;&nbsp;c-m\\\\d-n &amp; e-p &amp;&nbsp;f-q&nbsp;&nbsp; \\\\g-r &amp; h-s &amp;&nbsp;j-t<br/>\\end{array} \\right)\\]</p>\n<p><span class=\"nb\">&nbsp;</span></p>\n<p><span class=\"nb\"><span class=\"k\"><span class=\"s\">&nbsp;</span></span></span></p>\n<p></p>", "type": "question", "contributors": [{"name": "Marie Nicholson", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1799/"}]}]}], "contributors": [{"name": "Marie Nicholson", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1799/"}]}