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

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.

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