Verify parts (a) and (b) of Theorem 3. THEOREM 3 Algebra of Inverse Matrices If the matrices

Verify parts (a) and (b) of Theorem 3.

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THEOREM 3 Algebra of Inverse Matrices If the matrices A and B of the same size are invertible, then (a) A¹ is invertible and (A-1)-¹ = A; (b) If n is a nonnegative integer, then A" is invertible and (A")-¹ = (A-¹)"; (c) The product AB is invertible and (AB)-¹ = B-¹A-¹. (11)