Respuesta :

Answer:

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

Step-by-step explanation:

solution

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

As A is symmetric matrix  then

A = [tex]A^{T}[/tex]

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