Select all statements below which are true for all invertible n x n matrices A and B OA. AB = BA OB. (A + B)(A - B) = A² - B² Oc. (A+ A-¹)² = A²+ A-² OD. A³B2 is invertible OE. A + B is invertible OF. (In + A)(In + A-¹) = 2In + A+ A-¹

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Select all statements below which are true for all invertible n x n matrices A and B
DA. AB = BA
OB. (A + B)(A - B) = A² - B²
Oc. (A+ A-¹)² = A²+ A-²
OD. A³B2 is invertible
OE. A + B is invertible
OF. (In + A) (In + A-¹) = 2In + A+ A-¹
Transcribed Image Text:Select all statements below which are true for all invertible n x n matrices A and B DA. AB = BA OB. (A + B)(A - B) = A² - B² Oc. (A+ A-¹)² = A²+ A-² OD. A³B2 is invertible OE. A + B is invertible OF. (In + A) (In + A-¹) = 2In + A+ A-¹
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