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

MCQ

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

A
diagonal matrix
B
skew-symmetric matrix
C
scalar matrix
D
symmetric matrix

✓

Answer

(d) symmetric matrix
Explanation: A’ = A & B’ = B
(ABA)’ = A’ (AB)’
= A’B’A’
= ABA
Therefore ABA is symmetric matrix

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