Select all statements below which are true for all invertible 1 x n matrices A and B A. (A + B)² = A² + B² + 2AB ✔B. 3.A is invertible □C. (A+ A-¹)⁹ = Aº + A-⁹ D. A+ I, is invertible E. (In − A)(In + A) = I₁ - A² OF. ABA-¹ = B
Select all statements below which are true for all invertible 1 x n matrices A and B A. (A + B)² = A² + B² + 2AB ✔B. 3.A is invertible □C. (A+ A-¹)⁹ = Aº + A-⁹ D. A+ I, is invertible E. (In − A)(In + A) = I₁ - A² OF. ABA-¹ = B
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Select all statements below which are true for all invertible 1 x n matrices A and B
A. (A + B)² = A² + B² + 2AB
✔B. 3.A is invertible
□C. (A+ A-¹)⁹ = Aº + A-⁹
D. A+ I, is invertible
E. (In − A)(In + A) = I₁ - A²
OF. ABA-¹ = B
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