Construct a `2xx3`matrix `A=[a_(ij)]`, whose elements are given by `a_(ij) =(1)/(2)|2i-3j|`.

Explanation

To construct the \(2 \times 3\) matrix \(A = [a_{ij}]\) where the elements are given by the formula \(a_{ij} = \frac{1}{2} |2i - 3j|\), we will calculate each element of the matrix step by step.

### Step 1: Calculate \(a_{11}\)
- For \(i = 1\) and \(j = 1\):
\[ a_{11} = \frac{1}{2} |2(1) - 3(1)| = \frac{1}{2} |2 - 3| = \frac{1}{2} | -1 | = \frac{1}{2} \cdot 1 = \frac{1}{2} \]

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