Construct a 2 × 2 matrix whose elements are


Construct a $2 \times 2$ matrix whose elements are $\mathrm{a}_{\mathrm{ij}}=\frac{(\mathrm{i}+2 \mathrm{j})^{2}}{2}$


It is a $(2 \times 2)$ matrix. So, it has 2 rows and 2 columns.

Given $a_{i j}=\frac{((t+2))^{2}}{2}$

So, $a_{11}=\frac{9}{2}, a_{12}=\frac{25}{2}$,

$a_{21}=8, a_{22}=18$

So, the matrix $=\left[\begin{array}{cc}\frac{9}{2} & \frac{25}{2} \\ 8 & 18\end{array}\right]$

Conclusion: Therefore, Matrix is $=\left[\begin{array}{cc}\frac{9}{2} & \frac{25}{2} \\ 8 & 18\end{array}\right]$


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