Construct a `2 xx2`matrix, `A =[a_(i j)]`, whose elements are given by:(i) `a_(i j)=((i+j)^2)/2` (ii) `a_(i j)=i/j` (iii) `a_(i j)=((i+2j)^2)/2`

Explanation

To construct the \(2 \times 2\) matrix \(A = [a_{ij}]\) for the given expressions, we will follow these steps for each part of the question.

### Part (i): \(a_{ij} = \frac{(i+j)^2}{2}\)

1. **Calculate \(a_{11}\)**:
\[ a_{11} = \frac{(1+1)^2}{2} = \frac{2^2}{2} = \frac{4}{2} = 2 \]
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