Select all statements below which are true for all invertible n X n matrices A and B A. (A + A-1)9 = A° + A-9 %3D B. A + B is invertible C. A° is invertible D. (A + B)(A – B) = A² – B² E. (I, + A)(In + A-l) = 21, + A + A-! F. ABA-1 = B

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter2: Matrices
Section2.4: Elementary Matrices
Problem 39E: Use elementary matrices to find the inverse of A=100010abc, c0.
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Select all statements below which are true for all invertible n X n matrices A and B
A. (A + A-1)º =
= A° + A-9
B. A + B is invertible
C. A is invertible
D. (A + B)(A – B) = A² – B²
E. (I, + A)(In + A¬l) = 21, + A+ A-1
F. ABA-1 = B
Transcribed Image Text:Select all statements below which are true for all invertible n X n matrices A and B A. (A + A-1)º = = A° + A-9 B. A + B is invertible C. A is invertible D. (A + B)(A – B) = A² – B² E. (I, + A)(In + A¬l) = 21, + A+ A-1 F. ABA-1 = B
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