A square matrix is symmetric if for all indices i and j, entry i, j equals entry

Question:

A square matrix is symmetric if for all indices i and j, entry i, j equals entry j, i.
(a) Find a basis for the vector space of symmetric 2 × 2 matrices.
(b) Find a basis for the space of symmetric 3 ×3 matrices.
(c) Find a basis for the space of symmetric n × n matrices.