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(C) In general,a $3 	imes 2$ matrix is given by $A = \begin{bmatrix} a_{11} & a_{12} \ a_{21} & a_{22} \ a_{31} & a_{32} \end{bmatrix}$.Given the f

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$A = \begin{bmatrix} 1 & \frac{5}{2} \ \frac{1}{2} & 2 \ 0 & \frac{3}{2} \end{bmatrix}$

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(C) In general,a $3 	imes 2$ matrix is given by $A = \begin{bmatrix} a_{11} & a_{12} \ a_{21} & a_{22} \ a_{31} & a_{32} \end{bmatrix}$.Given the formula $a_{ij} = \frac{1}{2}|i - 3j|$,where $i = 1, 2, 3$ and $j = 1, 2$,we calculate each element:$a_{11} = \frac{1}{2}|1 - 3(1)| = \frac{1}{2}|-2| = 1$$a_{12} = \frac{1}{2}|1 - 3(2)| = \frac{1}{2}|-5| = \frac{5}{2}$$a_{21} = \frac{1}{2}|2 - 3(1)| = \frac{1}{2}|-1| = \frac{1}{2}$$a_{22} = \frac{1}{2}|2 - 3(2)| = \frac{1}{2}|-4| = 2$$a_{31} = \frac{1}{2}|3 - 3(1)| = \frac{1}{2}|0| = 0$$a_{32} = \frac{1}{2}|3 - 3(2)| = \frac{1}{2}|-3| = \frac{3}{2}$Thus,the required matrix is $A = \begin{bmatrix} 1 & \frac{5}{2} \ \frac{1}{2} & 2 \ 0 & \frac{3}{2} \end{bmatrix}$.

Construct a $3 \times 2$ matrix whose elements are given by $a_{ij} = \frac{1}{2}|i - 3j|$.

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