A matrix which is both symmetric as w...

A matrix which is both symmetric as well as skew-symmetric is a null matrix.

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If a matrix is both symmetric and skew symmetric matrix, then
`A` is symmetric matrix
`Rightarrow aij=aji`
`A` is a skew symmetric matrix
`Rightarrow aij=-aji`
If `aij=aji=-aji`
`Rightarrow aij=0 Rightarrow aji=-aji`
Hence `A` is a zero or null matrix.

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If A is symmetric as well as skew-symmetric matrix, then A is

A

diagonal matrix

B

null matrix

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triangular materix

D

none of these

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