If A and B are symmetric matrices, then ABA is - Vidyadip

MCQ

If $A$ and $B$ are symmetric matrices, then $ABA$ is

✓
symmetric matrix
B
skew symmetric
C
diagonal matrix
D
scalar matrix

✓

Answer

Correct option: A.

symmetric matrix

a
We have $(ABA)’ = A’B’A’ = ABA$
==> $ABA$ is symmetric

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