Let A, B, C and D be invertible n xn matrices with n> 7, which satisfy the equation ABCT DBA"C = ABT Which one of the following expressions for D is true? O a. D= AB" A-'B-'(C")-'B-"(AT)-"C-| Ob. D = A-B-'(C")-'AB" B-(A")-!c-! Oc. D= (C-)TB-' B"C-'(A")-'B- O d. D= (C-)TB-A-c-'(A")-B-'AB" O e. D= A- B-
Let A, B, C and D be invertible n xn matrices with n> 7, which satisfy the equation ABCT DBA"C = ABT Which one of the following expressions for D is true? O a. D= AB" A-'B-'(C")-'B-"(AT)-"C-| Ob. D = A-B-'(C")-'AB" B-(A")-!c-! Oc. D= (C-)TB-' B"C-'(A")-'B- O d. D= (C-)TB-A-c-'(A")-B-'AB" O e. D= A- B-
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.5: Determinants
Problem 82E: Use an example chosen from 22 matrices to show that for nn matrices A and B,ABBA but AB=BA.
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