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Find the determinant of
\n\\begin{bmatrix}\\var{n11}&\\var{n12}&\\var{n13}\\\\ \\var{n21}&\\var{n22}&\\var{n23}\\\\ \\var{n31} & \\var{n32} & \\var{n33}\\end{bmatrix}
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", "templateType": "randrange"}, "n12": {"name": "n12", "group": "Ungrouped variables", "definition": "random(0 .. 2#1)", "description": "Number in 1st row 2nd column
", "templateType": "randrange"}, "n13": {"name": "n13", "group": "Ungrouped variables", "definition": "random(1 .. 3#1)", "description": "", "templateType": "randrange"}, "n21": {"name": "n21", "group": "Ungrouped variables", "definition": "random(4 .. 5#1)", "description": "", "templateType": "randrange"}, "n22": {"name": "n22", "group": "Ungrouped variables", "definition": "random(1 .. 2#1)", "description": "", "templateType": "randrange"}, "n23": {"name": "n23", "group": "Ungrouped variables", "definition": "random(-9 .. -8#1)", "description": "", "templateType": "randrange"}, "n31": {"name": "n31", "group": "Ungrouped variables", "definition": "random(2 .. 3#1)", "description": "", "templateType": "randrange"}, "n32": {"name": "n32", "group": "Ungrouped variables", "definition": "random(4 .. 5#1)", "description": "", "templateType": "randrange"}, "n33": {"name": "n33", "group": "Ungrouped variables", "definition": "random(1 .. 2#1)", "description": "", "templateType": "randrange"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["n11", "n12", "n13", "n21", "n22", "n23", "n31", "n32", "n33"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"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": "n11 * (n22*n33-n23*n32)-n12*(n21*n33-n23*n31)+n13*(n21*n32-n22*n31)", "maxValue": "n11 * (n22*n33-n23*n32)-n12*(n21*n33-n23*n31)+n13*(n21*n32-n22*n31)", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "type": "question", "contributors": [{"name": "Lisa Mott", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4903/"}]}]}], "contributors": [{"name": "Lisa Mott", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4903/"}]}