If A is a symmetric matrix, then matrix M'AMis - Vidyadip

MCQ

If $A$ is a symmetric matrix, then matrix $M'AM$is

✓
Symmetric
B
Skew-symmetric
C
Hermitian
D
Skew-Hermitian

✓

Answer

Correct option: A.

Symmetric

a
(a) $(M'AM)' = M'A'M = M'AM$

( $A$ is symmetric. Hence $M'AM$ is a symmetric matrix).

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