Which of the following are subspaces of Mnxn(R)? • ) The set of all symmetric matrices A in Mpxn(R). (i1) The set of all anti-symmetric matrices A in Mxn(IR). • (i) The set of all invertible matrices A in Mnxn(R). • (iv) The set of all matrices in M,nxn(R) with trace 0. (v) The set of all idempotent matrices A in Mnxn(R), that is A? = A.

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