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Matrices — Mathematics STD 10 — Question

ICSE BoardEnglish MediumSTD 10MathematicsMatrices2 Marks
Question
Given $A=\left[\begin{array}{ll}1 & 4 \\ 2 & 3\end{array}\right]$ and $B=\left[\begin{array}{l}-4-1 \\ -3-2\end{array}\right]$ Find the matrix $C$ such that $C + B = \left[\begin{array}{ll}0 & 0 \\ 0 & 0\end{array}\right]$
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Answer

$C+B=\left[\begin{array}{ll}0 & 0 \\ 0 & 0\end{array}\right]$
$C=\left[\begin{array}{ll}0 & 0 \\ 0 & 0\end{array}\right]-B$
$=\left[\begin{array}{ll}0 & 0 \\ 0 & 0\end{array}\right]-\left[\begin{array}{l}-4-1 \\ -3-2\end{array}\right]$
$=\left[\begin{array}{ll}0+4 & 0+1 \\ 0+3 & 0+2\end{array}\right]$
$=\left[\begin{array}{ll}4 & 1 \\ 3 & 2\end{array}\right]$

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