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Engineering Mathematics

Symmetric, Skew-symmetric and Orthogonal Matrices

A square matr...

Question

A square matrix $B$ is skew-symmetric if

A

B^{T} = - B

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B

B^{T} = B

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C

B^{- 1} = B

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D

B^{- 1} = B^{T}

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Solution

The correct option is A $B^{T} = - B$
Directly follows from the definition of skew-symmetric matrix.

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