Determine which of the formulas hold for all invertible n x n matrices A and B OA. (A+ B)² = A² + B² + 2AB |B. Aª is invertible OC. (In + A)(In + A-1) = 21, + A + A-1 D. A+ B is invertible OE. (A+ A-1)5 = A5 + A-5 F. AB = BA

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 53RE
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Determine which of the formulas hold for all invertible n x n matrices A and B
A. (A+ B)² = A? + B² + 2AB
|B. Aª is invertible
C. (In + A)(In + A¬1) = 2I, + A+ A-1
D. A + B is invertible
E. (A+ A-1)5 = A5 + A¬5
|F. AB
ВА
Transcribed Image Text:Determine which of the formulas hold for all invertible n x n matrices A and B A. (A+ B)² = A? + B² + 2AB |B. Aª is invertible C. (In + A)(In + A¬1) = 2I, + A+ A-1 D. A + B is invertible E. (A+ A-1)5 = A5 + A¬5 |F. AB ВА
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