If A = [aij] is a 2×2 matrix such that aij = i + 2j, write A. - Vidyadip

Question

If A = [a_ij] is a 2×2 matrix such that a_ij = i + 2j, write A.

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Answer

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

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