Five marks exercise problems III — task. Mathematics State Board, Class 10.

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1. If \(A =\)

(\begin{array}{l} 2 & 5 \\ 4 & 3 \end{array})

, \(B =\)

(\begin{array}{l} 1 & - 3 \\ 2 & 5 \end{array})

find \(AB\), \(BA\) and verify that \(AB = BA\)?

2. Given that \(A =\)

(\begin{array}{l} 1 & 3 \\ 5 & - 1 \end{array})

, \(B =\)

(\begin{array}{l} 1 & - 1 & 2 \\ 3 & 5 & 2 \end{array})

, \(C =\)

(\begin{array}{l} 1 & 3 & 2 \\ - 4 & 1 & 3 \end{array})

, verify that \(A(B + C) = AB + AC\).

3. Show that the matrices \(A =\)

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

, \(B =\)

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

satisfy commutative property \(AB = BA\).

Important!

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

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7. Five marks exercise problems III