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Question

A square matrix A is said to be a symmetric matrix if


A

A=AT

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B

A=AT

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C

A=¯A

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D

A=¯A

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Solution

The correct option is B

A=AT


We have discussed that a square matrix A is called as symmetric matrix if the matrix is equal to its transpose.

Eg. Lets take a 2 × 2 matrix [1222]

If we take its transpose the transpose matrix will be [1222] which is equal to the original matrix itself. So these type of matrices which remain same after taking the transpose are called as symmetric matrices.


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