Question

Define and explain Symmetric matrix.

Answer 1

Symmetric Matrix. If the transpose of a matrix is equal to itself, that matrix is said to be symmetric. Two examples of symmetric matrices appear below. Note that each of these matrices satisfy the defining requirement of a symmetric matrix: A = A' and B = B'.

Answer 2

In linear algebra, a symmetric matrix is a square matrix that is equal to its transpose. Formally, Because equalmatrices have equal dimensions, only square matrices can be symmetric. The entries of a symmetric matrix aresymmetric with respect to the main diagonal.