Use Theorem 5.2.1 to determine which of the following are subspaces of Mnn. (a) All n x

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Use Theorem 5.2.1 to determine which of the following are subspaces of Mnn.
(a) All n x n matrices A such that AT = -A
(b) All n x n matrices A such that the linear system Ax = 0 has only the trivial solution
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