Assuming that all matrices are n x n and invertible, solve for D. CAB" DACTB = CA". OD = A-'B"CB-(C")¯'B-1 OD = B'A-'C-'B'CA-! OD = (B")A-A"B-"(C")'A-1 OD = (C")"B-A"B- (C")'A- OD = (A")¯'AC"B(A")¯'c-!

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Show that if A is square matrix that satisfies the equation 2 A² - A - I = O, then its inverse is A-¹ = 2 A-I. The equation 24² - A - I = O implies that ---Select--- ✓. It follows that ---Select--- ✓. Notice the last equation means that ---Select--- multiplied with A is the identity, which is what we wanted to prove.

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