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(D) Given that $A = [a_{ij}]$ is a square matrix where $a_{ij} = i^2 - j^2$.For any element $a_{ji}$,we have $a_{ji} = j^2 - i^2$.We can rewrite this

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Skew symmetric matrix

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(D) Given that $A = [a_{ij}]$ is a square matrix where $a_{ij} = i^2 - j^2$.For any element $a_{ji}$,we have $a_{ji} = j^2 - i^2$.We can rewrite this as $a_{ji} = -(i^2 - j^2) = -a_{ij}$.$A$ matrix $A$ is called a skew-symmetric matrix if $a_{ji} = -a_{ij}$ for all $i, j$.Since $a_{ji} = -a_{ij}$ holds true for all $i, j$,the matrix $A$ is a skew-symmetric matrix.Therefore,the correct option is $D$.

If $A$ is a square matrix for which $a_{ij} = i^2 - j^2$,then $A$ is

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