Question

Construct a 2 x 2 matrix, A = [a_ij], whose elements are a_ij = (i + 2j)²/2.

Answer 1

Since it is a 2 x 2 matrix it has 2 rows and 2 column.

Let matrix be A

Where A = 

Now it is given that

a_ij = \(\frac{(i\ +\ 2j)^2}{2}\)

The required matrix A is