Q. 755.0( 1 Vote )

# Fill in the blanks in each of the

If A is a skew symmetric matrix, then A^{2} is a _________.

Answer :

A^{2} is a symmetric matrix.

Given: A’=-A

⇒ (A^{2})’=(AA)’=A’A’

⇒ A’A’=(-A)(-A)=A^{2}

⇒ (A^{2})’=A^{2} (symmetric matrix)

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