If 9&-1&4 -2&1&3 =A+ 1&2&-1 0&4&9 , then find matrix A. - Vidyadip

Question

If $\begin{bmatrix}9&-1&4\\-2&1&3 \end{bmatrix}=\text{A}+\begin{bmatrix}1&2&-1\\0&4&9 \end{bmatrix},$ then find matrix A.

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Answer

$\begin{bmatrix}9&-1&4\\-2&1&3 \end{bmatrix}=\text{A}+\begin{bmatrix}1&2&-1\\0&4&9 \end{bmatrix}$
$\Rightarrow\text{A}=\begin{bmatrix}9&-1&4\\-2&1&3 \end{bmatrix}-\begin{bmatrix}1&2&-1\\0&4&9 \end{bmatrix}$
$=\begin{bmatrix}9-1&-1-2&4+1\\-2-0&1-4&3-9 \end{bmatrix}$
$=\begin{bmatrix}8&-3&5\\-2&-3&-6 \end{bmatrix}$
Hence, the matrix $\text{A}=\begin{bmatrix}8&-3&5\\-2&-3&-6 \end{bmatrix}$

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