An n × n matrix A is said to be symmetric if A^{T} = A . Let S be the set of all 3 × 3 symmetric matrices. Show that S is a subspace of M_{3 \times 3} , the vector space of 3 × 3 matrices.
An n × n matrix A is said to be symmetric if A^{T} = A . Let S be the set of all 3 × 3 symmetric matrices. Show that S is a subspace of M_{3 \times 3} , the vector space of 3 × 3 matrices.