Select all statements below which are true for all invertible n x n matrices A and B A. (A + B)(A – B) = A² – B² B. 6A is invertible C. A+B is invertible -1 D. (In + A)(In + A¯¹) = 2In + A+ A¯¹ E. ABA¹ = B F. (AB)¯¹ = A¯¹B-1
Select all statements below which are true for all invertible n x n matrices A and B A. (A + B)(A – B) = A² – B² B. 6A is invertible C. A+B is invertible -1 D. (In + A)(In + A¯¹) = 2In + A+ A¯¹ E. ABA¹ = B F. (AB)¯¹ = A¯¹B-1
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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