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Matrices — Mathematics STD 10 — Question

ICSE BoardEnglish MediumSTD 10MathematicsMatrices2 Marks
Question
Given $A=\left[\begin{array}{cc}1 & 1 \\ -2 & 0\end{array}\right]$ and $B=\left[\begin{array}{cc}2 & -1 \\ 1 & 1\end{array}\right]$  Solve for matrix $X: X + 2A = B$
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Answer

$X+2 A=B$
$X=B-2 A$
$\begin{array}{l}X=\left[\begin{array}{cc}2 & -1 \\ 1 & 1\end{array}\right]-2\left[\begin{array}{cc}1 & 1 \\ -2 & 0\end{array}\right] \end{array} $
$ X=\left[\begin{array}{cc}2 & -1 \\ 1 & 1\end{array}\right]-\left[\begin{array}{cc}2 & 2 \\ -4 & 0\end{array}\right]  $
$ X=\left[\begin{array}{cc}0 & -3 \\ 5 & 1\end{array}\right]$

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