Construct a \[\mathbf{2}\text{ }\times \text{ }\mathbf{2}\] matrix whose elements aij are given by (i) \[{{\mathbf{a}}_{\mathbf{ij}}}~=\text{ }\mathbf{2i}\text{ }\text{ }\mathbf{j}\] (ii) \[{{\mathbf{a}}_{\mathbf{ij}}}~=\mathbf{i}.\mathbf{j}\]

Construct a

$\mathbf{2}\text{ }\times \text{ }\mathbf{2}$

matrix whose elements aij are given by (i)

${{\mathbf{a}}_{\mathbf{ij}}}~=\text{ }\mathbf{2i}\text{ }\text{ }\mathbf{j}$

(ii)

${{\mathbf{a}}_{\mathbf{ij}}}~=\mathbf{i}.\mathbf{j}$

Construct a

$\mathbf{2}\text{ }\times \text{ }\mathbf{2}$

matrix whose elements aij are given by (i)

${{\mathbf{a}}_{\mathbf{ij}}}~=\text{ }\mathbf{2i}\text{ }\text{ }\mathbf{j}$

(ii)

${{\mathbf{a}}_{\mathbf{ij}}}~=\mathbf{i}.\mathbf{j}$

(i) Given

${{\mathbf{a}}_{\mathbf{ij}}}~=\text{ }\mathbf{2i}\text{ }\text{ }\mathbf{j}$

Therefore matrix of order

$\mathbf{2}\text{ }\times \text{ }\mathbf{2}$

$\left[ (1) <img src="https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-c93e13b2beaaeea56e5e2873e121c4e2_l3.png" height="69" width="46" class="ql-img-displayed-equation quicklatex-auto-format" alt="\begin{align*} & 1\,\,\,0 \\ & 3\,\,\,2 \\ \end{align*}" title="Rendered by QuickLaTeX.com"/> \right]$

(ii) Given

${{\mathbf{a}}_{\mathbf{ij}}}~=\mathbf{i}.\mathbf{j}$

Therefore matrix of order

$\mathbf{2}\text{ }\times \text{ }\mathbf{2}$

$\left[ (2) <img src="https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-9c24c6d6af9f8176364fc880c772e5a8_l3.png" height="69" width="46" class="ql-img-displayed-equation quicklatex-auto-format" alt="\begin{align*} & 1\,\,\,2 \\ & 2\,\,\,4 \\ \end{align*}" title="Rendered by QuickLaTeX.com"/> \right]$

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