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Matrices — Mathematics STD 10 — Question

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

Answer

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

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