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Question

Mathematics Question on Symmetric and Skew Symmetric Matrices

Let A and B be symmetric matrices of same order, then which of the following statement is true?

A

(A+B) is a symmetric matrix

B

(AB) is a symmetric matrix

C

(A+B) is a skew-symmetric matrix

D

(AB) is a skew-symmetric matrix

Answer

(A+B) is a symmetric matrix

Explanation

Solution

The correct option is(A):(A+B) is a symmetric matrix