Construct `a_(2xx2)` matrix, where
(i) `a_(ij)=((i-2j)^(2))/(2)` (ii) `a_(ij)=|-2hati+3j|`

Explanation

To construct the \( 2 \times 2 \) matrices based on the given conditions, we will follow these steps:

### Step 1: Construct the first matrix using \( a_{ij} = \frac{(i - 2j)^2}{2} \)

1. **Calculate \( a_{11} \)**:
- Set \( i = 1 \) and \( j = 1 \):
\[
a_{11} = \frac{(1 - 2 \cdot 1)^2}{2} = \frac{(1 - 2)^2}{2} = \frac{(-1)^2}{2} = \frac{1}{2}
...