Let p be an invertible n n matrix. If A is any n n matrix,
Question:
Verify that:
(a) Tp (I) = I
(b)TP(AB) = TP(A)Tp(B)
(c) Tp(A + B) = Tp(A) + Tp(B)
(d) Tp(rA) = rTp(A)
(e) Tp(Ak) = [Tp(A)]k for k ≥ 1
(f) If A is invertible, Tp(A-l) = [Tp(A)]-l.
(g) If Q is invertible, TQ[Tp(A)] = TPQ(A).
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