Question:
Find the value of X, if $\left[ \begin{matrix} 2 & 1 \\ 3 & -3 \\ \end{matrix} \right] +$ X = $\left[ \begin{matrix} 4 & -2 \\ -1 & -2 \\ \end{matrix} \right]$.
Difficulty: Easy
Solution:
$\left[ \begin{matrix} 2 & 1 \\ 3 & -3 \\ \end{matrix} \right]~+$ X = $\left[ \begin{matrix} 4 & -2 \\ -1 & -2 \\ \end{matrix} \right]$
X = $\left[ \begin{matrix} 4 & -2 \\ -1 & -2 \\ \end{matrix} \right] - \left[ \begin{matrix} 2 & 1 \\ 3 & -3 \\ \end{matrix} \right]$
= $\left[ \begin{matrix} 4-2 & -2-1 \\ -1-3 & -2+3 \\ \end{matrix} \right]$
= $\left[ \begin{matrix} 2 & -3 \\ -4 & 1 \\ \end{matrix} \right]$
So, X = $\left[ \begin{matrix} 2 & -3 \\ -4 & 1 \\ \end{matrix} \right]$
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