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Matrices — Mathematics STD 10 — Question

ICSE BoardEnglish MediumSTD 10MathematicsMatrices2 Marks
Question
$A=\left[\begin{array}{ll}1 & 2 \\ 3 & 4\end{array}\right]$ and $B=\left[\begin{array}{ll}6 & 1 \\ 1 & 1\end{array}\right], C=\left[\begin{array}{cc}-2 & -3 \\ 0 & 1\end{array}\right]$ find each of the following and state if they are equal. $C A+B$
✓

Answer

$\begin{aligned} & CA + B \\ & CA =\left[\begin{array}{cc}-2 & -3 \\ 0 & 1\end{array}\right]\left[\begin{array}{ll}1 & 2 \\ 3 & 4\end{array}\right] \\ & =\left[\begin{array}{cc}-2-9 & -4-12 \\ 0+3 & 0+4\end{array}\right] \\ & =\left[\begin{array}{cc}-11 & -16 \\ 3 & 4\end{array}\right] \\ & CA + B =\left[\begin{array}{cc}-11 & -16 \\ 3 & 4\end{array}\right]+\left[\begin{array}{ll}6 & 1 \\ 1 & 1\end{array}\right] \\ & =\left[\begin{array}{cc}-11+6 & -16+1 \\ 3+1 & 4+1\end{array}\right] \\ & =\left[\begin{array}{cc}-5 & -15 \\ 4 & 5\end{array}\right] .\end{aligned}$

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