Question

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

Answer 1

A matrix A is symmetric if it is equal to its transpose, i.e., A=AT. A matrix A is symmetric if and only if swapping indices doesn't change its components, i.e., aij=aji.

Answer 2

Answer:

Given A to be a square matrix.

Now according to the definition of the symmetric matrix, a matrix is said to be symmetric if A

t

=A, i.e. transpose of the matrix is equal to the matrix.