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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 of the following and state if they are equal A + CB
✓

Answer

$C B=\left[\begin{array}{cc}-2 & -3 \\ 0 & 1\end{array}\right]\left[\begin{array}{ll}6 & 1 \\ 1 & 1\end{array}\right]=\left[\begin{array}{cc}-12-3 & -2-3 \\ 0+1 & 0+1\end{array}\right]=\left[\begin{array}{cc}-15 & -5 \\ 1 & 1\end{array}\right]$
$A+C B=\left[\begin{array}{ll}1 & 2 \\ 3 & 4\end{array}\right]+\left[\begin{array}{cc}-15 & -5 \\ 1 & 1\end{array}\right]=\left[\begin{array}{cc}-14 & -3 \\ 4 & 5\end{array}\right]$
Thus $C A+B \neq A+C B$

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