Construct a` 2xx3 matrix` `A = [a_ij],` whose elements are given by `a_(ij) ={{:(2i)/(3j):}}`

Explanation

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

### Step 1: Define the matrix dimensions
We know that \( A \) is a \( 2 \times 3 \) matrix, which means it has 2 rows and 3 columns.

### Step 2: Calculate the elements of the matrix
We will calculate each element \( a_{ij} \) using the formula \( a_{ij} = \frac{2i}{3j} \).

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