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Mathematics Question on Symmetric and Skew Symmetric Matrices

If A and B are symmetric matrices, then which statements are correct?
(A) (A−B)′=B′−A′(A-B)' = B' - A'
(B) (AB+BA)(AB+BA) is symmetric matrix
(C) (AB)′=B′A′(AB)'= B'A'
(D)A′B′=B′A′ A'B' = B'A'
(E)(AB−BA)(AB-BA)is skew symmetric matrix
Choose the correct answer from the options given below:

A

(A), (C) and (E) Only

B

(B), (D) and (E) Only

C

(B), (C) and (E) Only

D

(A), (B) and (E) Only

Answer

(B), (C) and (E) Only

Explanation

Solution

The correct option is (C): (B), (C) and (E) Only