Construct a 3- 4 matrix A - -aij- whose element aij is aij - i - j-

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Triangular Matrix

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Question

Construct a $3 \times 4$ matrix $A = [a_{i j}]$ , whose element $a_{i j}$ is $a_{i j} = i + j$ .

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3 \times 4

A = [a_{i j}]

a_{i j}

a_{i j} = i - j

4 \times 3

A = [a_{i j}]

a_{i j}

a_{i j} = \frac{i - j}{i + j}

3 \times 2

A = [a_{i j}]

a_{i j} = \frac{i}{j}

\frac{1}{2} |- 3 i + j|

Construct $2 \times 2$ matrix, $A = [a_{i j}]$ whose elements are given by
$(i) a_{i j} = \frac{(i + j)^{2}}{2}$

$(i i) a_{i j} = \frac{(i)}{j}$

$(i i i) a_{i j} = \frac{(i + 2 j)^{2}}{2}$

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