If A = [ a _ ij ] is a 2 2 matrix such that a _ ij = i +2 j, writ… - Vidyadip

Question

If $A =\left[ a _{ ij }\right]$ is a $2 \times 2$ matrix such that $a _{ ij }= i +2 j$, write A .

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Answer

Here,
$a_{i j}=i+2 j$
$\text{A}=\begin{bmatrix}\text{a}_{11}&\text{a}_{12}\\\text{a}_{21}&\text{a}_{22}\end{bmatrix}$
$=\begin{bmatrix}1+2(1)&1+2(2)\\2+2(1)&2+2(2)\end{bmatrix}$
$=\begin{bmatrix}3&5\\4&6\end{bmatrix}$
Hence,
$\text{A}=\begin{bmatrix}3&5\\4&6\end{bmatrix}$

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