(a) Define orthogonal and idempotent matrices with examples. Prove that the only matrices which commute with an nxn matrix are the nxn scalar matrices. Compute AB ´1 2 0) by the method of conformal portioning of A by B, when A=3 1 0 and 20 1) (2 1 1 0) B =1 2 1 0 2 31 2)

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