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:

            (iv) AB

Answers (1)

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

(iv) AB

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

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

AB = \begin{bmatrix} -6 &26 \\ -1 & 19 \end{bmatrix}      

 

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