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If A is skew-symmetric matrix then A^(2)...

If A is skew-symmetric matrix then `A^(2)` is a symmetric matrix.

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Verified by Experts

True
`because [A^(2)]=[A]^(2)`
`=[-A]^(2)`
`[because A=-A]`
`=A^(2)`
Hence, `A^(2)` is symmetric matrix
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NCERT EXEMPLAR ENGLISH-MATRICES-Solved example
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  2. Matrices of any order can be added.

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  3. Two matrices are equal. If they have same number of rows and same numb...

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  4. Matrices of different order cannot be subtracted.

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  5. Matrix addition is associative as well as commutative.

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  6. Matrix m ultiplication is commutative.

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  9. If A and B are two m atrices of the same order, then A-B=B-A.

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  11. Transpose of a column matrix is a column matrix.

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