Construct a2 × 2 matrix where (i) aij = (i – 2j)2/ 2 (ii) aij = |-2i + 3j|
Construct a2 × 2 matrix where (i) aij = (i – 2j)2/ 2 (ii) aij = |-2i + 3j|

We have,

\[A\text{ }=\text{ }{{[{{a}_{ij}}]}_{2\times 2}}\]

(I) Such that,\[~{{a}_{ij}}~=\text{ }{{\left( i\text{ }\text{ }2j \right)}^{2}}/\text{ }2;\] \[where\text{ }1\text{ }\le \text{ }i\text{ }\le \text{ }2;\text{ }1\text{ }\le \text{ }j\text{ }\le \text{ }2\]

Along these lines, the details of the matrix are

NCERT Exemplar Solutions Class 12 Mathematics Chapter 3 - 2

(ii) Here, \[{{a}_{ij}}~=\text{ }\left| -2i\text{ }+\text{ }3j \right|\]

In this way, the provisions of the matrix are

NCERT Exemplar Solutions Class 12 Mathematics Chapter 3 - 3