Two marks example problems II — task. Mathematics State Board, Class 10.

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1. If \(A =\)

(\begin{array}{l} 2 & 1 \\ 1 & 3 \end{array})

, \(B =\)

(\begin{array}{l} 2 & 0 \\ 1 & 3 \end{array})

, find \(AB\) and \(BA\). Verify \(AB = BA\)?

2. If \(A =\)

(\begin{array}{l} 2 & - 2 \sqrt{2} \\ \sqrt{2} & 2 \end{array})

and \(B =\)

(\begin{array}{l} 2 & 2 \sqrt{2} \\ - \sqrt{2} & 2 \end{array})

, show that \(A\) and \(B\) satisfy commutative property with respect to matrix multiplication.

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This is a self-assessment task. Solve this question and assess the solution steps after completing the test.

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3. Two marks example problems II