Question

What is a symmetric matrix?

Answer 1

symmetric matrix is the square matrix and it is equal to its transpose

Explanation:

solution

a symmetric matrix is the square matrix and it is equal to its transpose

As A is symmetric matrix then

A =
`A^(T)`

here only square matrices will be symmetric

and matrix A is symmetric its mean its matrices have equal dimension

and every square diagonal matrix is also symmetric when all off diagonals element is zero

symmetric matrix for all indices i and j

A = aij = aji