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Matrices — Mathematics STD 10 — Question

ICSE BoardEnglish MediumSTD 10MathematicsMatrices2 Marks
Question
Given $A=\left[\begin{array}{ccc}0 & 4 & 6 \\ 3 & 0 & -1\end{array}\right]$ and $B=\left[\begin{array}{cc}0 & 1 \\ -1 & 2 \\ -5 & -6\end{array}\right]$ find if possible $AB$
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Answer

$\begin{array}{l}A B=\left[\begin{array}{ccc}0 & 4 & 6 \\ 3 & 0 & -1\end{array}\right]\left[\begin{array}{cc}0 & 1 \\ -1 & 2 \\ -5 & -6\end{array}\right] \end{array}$
$ =\left[\begin{array}{cc}0-4-30 & 0+8-36 \\ 0-0+5 & 3+0+6\end{array}\right]  $
$ =\left[\begin{array}{cc}-34 & -28 \\ 5 & 9\end{array}\right]$

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