// Numbas version: finer_feedback_settings {"name": "Musa's copy of 3 L1 - Matrix multiplication (2x2)", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Musa's copy of 3 L1 - Matrix multiplication (2x2)", "tags": [], "metadata": {"description": "
Multiplication of $2 \\times 2$ matrices.
", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "Calculate the following products of these matrices:
", "advice": "\\begin{align}
\\mathbf{AB} &= \\var{A}\\var{B} \\\\
&= \\begin{pmatrix} \\simplify[]{ {a[0][0]}*{b[0][0]}+{a[0][1]}*{b[1][0]} } & \\simplify[]{ {a[0][0]}*{b[0][1]} + {a[0][1]}*{b[1][1]} } \\\\ \\simplify[]{ {a[1][0]}*{b[0][0]} + {a[1][1]}*{b[1][0]} } & \\simplify[]{ {a[1][0]}*{b[0][1]} + {a[1][1]}*{b[1][1]} } \\end{pmatrix} \\\\
&= \\var{a*b}
\\end{align}
$\\mathbf{AB} = \\var{A}\\var{B} = $ [[0]]
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