Briefly explain set of all real symmetric matrices


Question:

Vector spaces

Briefly explain, which of the following are vector spaces?

(a) The set of all real symmetric 3x3 matrices.

(b) The set of all real 3x3 non-singular matrices.

(c) The set of all real functions f(x) which are continuous for all x.

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Mathematics: Briefly explain set of all real symmetric matrices
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