If A = [aij] is a square matrix of even order such that aij = i2 − j2, then

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none of these 	ext{Given: A is a square matrix of even order} . Let A = \begin{bmatrix}a_{11} & a_{12} \ a_{21} & a_{22}\end{bmatrix} \Rightarrow A = \begin{bmatrix}0 & - 3 \ 3 & 0\end{bmatrix} \left[ \because a_{ij} = i^2 - j^2 ight] 	ext{So, it is a skew - symmetric matrix as a_{ij} }= - a_{ji} . Now, \left| A ight| = \begin{bmatrix}a_{11} & a_{12} \ a_{21} & a_{22}\end{bmatrix} = \begin{bmatrix}a_{11} a_{22} - a_{21} a_{12}\end{bmatrix} = \begin{bmatrix}0 - \left( - 9 ight)\end{bmatrix} = 9

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