Question: If A, B, and C are n ( n symmetric matrices, prove the following: (a) A is congruent to A? (b) If B is congruent

If A, B, and C are n ( n symmetric matrices, prove the following:
(a) A is congruent to A?
(b) If B is congruent to A, then A is congruent to B?
(c) If C is congruent to B and B is congruent to A, then C is congruent to A?

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