A. ABA-¹ = B B. A+ A-¹ is invertible C. (A + B)(A - B) = A² - B² D. (In + A)(In + A-¹)=2In + A + A−¹ E. (A + A−¹)⁹ = A + A-⁹ F. A5 B4 is invertible

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
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. ABA-¹ = B
B. A+ A-¹ is invertible
c. (A+B)(A - B) = A² - B²
D. (In + A) (In + A ¹)=2In + A+ A-¹
E. (A + A−¹)⁹ = A⁹ + A−⁹
F. A5 B4 is invertible
Transcribed Image Text:Select all statements below which are true for all invertible n x n matrices A and B A. ABA-¹ = B B. A+ A-¹ is invertible c. (A+B)(A - B) = A² - B² D. (In + A) (In + A ¹)=2In + A+ A-¹ E. (A + A−¹)⁹ = A⁹ + A−⁹ F. A5 B4 is invertible
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