// Numbas version: finer_feedback_settings
{"name": "Write an upper triangular matrix", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Write an upper triangular matrix", "tags": [], "metadata": {"description": "<p>The student is asked to enter a given matrix, but they're only required to fill in the upper triangle.</p>\n<p>A custom marking algorithm fills in any empty cells in the lower triangle of the student's answer with the corresponding cell in the upper triangle.</p>\n<p>The student is still warned if they leave any cells empty in the upper triangle.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "", "advice": "", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true, "j": false}, "constants": [], "variables": {"m": {"name": "m", "group": "Ungrouped variables", "definition": "upper_triangular(matrix(repeat(repeat(random(1..9),4),4)))", "description": "<p>Generate a random $4 \\times 4$ matrix and then copy the upper triangle into the lower triangle.</p>", "templateType": "anything", "can_override": false}, "q": {"name": "q", "group": "Ungrouped variables", "definition": "[r,i] for: r of: 0..3 for: i of: r..3", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["m", "q"], "variable_groups": [], "functions": {"upper_triangular": {"parameters": [["m", "matrix"]], "type": "matrix", "language": "jme", "definition": "matrix((if(i<j,m[i][j], m[j][i]) for: j of: 0..numcolumns(m)-1) for: i of: 0..numrows(m)-1)"}}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "matrix", "useCustomName": false, "customName": "", "marks": "16", "scripts": {}, "customMarkingAlgorithm": "symmetric_studentAnswer:\n  (if(i>j, studentAnswer[j][i], studentAnswer[i][j]) for: j of: 0..3) for: i of: 0..3\n\nstudentNumbers:\n    if(settings[\"allowFractions\"],\n        map(map(parsenumber_or_fraction(c, allowedNotationStyles), c, row), row, symmetric_studentAnswer)\n    ,\n        map(map(parsenumber(c, allowedNotationStyles), c, row), row, symmetric_studentAnswer)\n    )\n\nupper_cell_indexes: [r,c] for: r of: 0..3 for: c of: r..3\n\nempty_cells (The positions of the cells in the student's answer which have been left empty):\n  filter(trim(studentAnswer[p[0]][p[1]])=\"\", p, upper_cell_indexes)", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Write this matrix:</p>\n<p>$\\var{m}$</p>\n<p>You only need to fill in the upper triangle.</p>", "correctAnswer": "m", "correctAnswerFractions": false, "numRows": "4", "numColumns": "4", "allowResize": false, "tolerance": 0, "markPerCell": true, "allowFractions": false, "minColumns": 1, "maxColumns": 0, "minRows": 1, "maxRows": 0, "prefilledCells": "[[\"\",\"\",\"\",\"\"],[\" \",\"\",\"\",\"\"],[\" \",\" \",\"\",\"\"],[\" \",\" \",\" \",\"\"]]"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}]}]}], "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}]}