Question

Construct a 3 × 2 matrix whose elements are given by

a_ij = 1/2(i - 2j)²

Answer 1

Here, i is the subscript for a row, and j is the subscript for column

And the given matrix is 3×2, so 1≤ i ≤ 3 and 1≤j ≤2

Hence the required matrix is :- \( \begin{bmatrix} \frac{1}{2} & \frac{9}{2} \\[0.3em] 0 & 2 \\[0.3em] \frac{1}{2} & \frac{1}{2} \end{bmatrix}\)