Q1    Let A = \begin{bmatrix} 2 &4 \\ 3 & 2 \end{bmatrix}B = \begin{bmatrix} 1 &3 \\ -2 & 5 \end{bmatrix}C = \begin{bmatrix} -2 &5 \\ 3 & 4 \end{bmatrix}

 Find each of the following:

            (v) BA

Answers (1)

The multiplication is performed as follows

A = \begin{bmatrix} 2 &4 \\ 3 & 2 \end{bmatrix} ,B = \begin{bmatrix} 1 &3 \\ -2 & 5 \end{bmatrix}

BA = \begin{bmatrix} 1 &3 \\ -2 & 5 \end{bmatrix}   \times \begin{bmatrix} 2 &4 \\ 3 & 2 \end{bmatrix}

BA = \begin{bmatrix} 1\times 2+3\times 3 &1\times 4+3\times 2 \\ -2\times 2+5\times 3& -2\times 4+2\times 5 \end{bmatrix}

BA = \begin{bmatrix} 11 &10 \\ 11& 2 \end{bmatrix}         

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