Construct a 3 - 2 matrix A - -aij- whose elements are given by aij - ij

a_ ij =ij ⇒ a_11=1 #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; a_12=12 ⇒ a_21=2 #160 ...

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Matrix Definition and Representation

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Question

Construct a $3 \times 2$ matrix $A = [a_{i j}]$ whose elements are given by $a_{i j} = \frac{i}{j}$

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3 \times 3

a_{i j}

a_{i j} = 0

i \neq j

a_{i j} = i \times j

i = j

2 \times 3

A = [a_{i j}]

a_{i j} = {\begin{matrix} i - j i \geq j i + j i < j \end{matrix}

2 \times 3

A = [a_{i j}]

a_{i j} = 2 (i - j)

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

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

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

2 \times 2

A = [a_{i j}]

a_{i j} = 2 i - j

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