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Construct a \( 3 \times 4 \) matrix whose elements are given by \( a_{i j}=\frac{1}{2}|-3 \hat{i}+j| \)
\( \mathrm{P} \)
W
(1) \( \left[\begin{array}{cccc}1 & -\frac{1}{2} & 0 & \frac{1}{2} \\ -\frac{5}{2} & 2 & \frac{3}{2} & 1 \\ 4 & \frac{7}{2} & 3 & \frac{5}{2}\end{array}\right] \)
(2) \( \left[\begin{array}{cccc}\frac{1}{2} & 1 & \frac{3}{2} & 2 \\ 2 & \frac{5}{2} & 3 & \frac{7}{2} \\ \frac{7}{2} & 4 & \frac{9}{2} & 5\end{array}\right] \)
(3) \( \left[\begin{array}{cccc}1 & \frac{1}{2} & 0 & \frac{1}{2} \\ \frac{5}{2} & 2 & \frac{3}{2} & 1 \\ 4 & \frac{7}{2} & 3 & \frac{5}{2}\end{array}\right] \)
(4) None of these
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