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If A is symmetric matrix, then B'AB is.....

If A is symmetric matrix, then B'AB is............

A

Null matrix

B

Zero matrix

C

Symmetric matrix

D

Skew-symmetric matrix

Text Solution

Verified by Experts

The correct Answer is:
C
If A is a symmetric matrix, then B'AB is a symmetric metrix.
`because [B'AB]'=[B '(AB)]'`
=B'A'B
= [B'A'B]
So, B'AB is a symmetric matrix.
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