11.(a) Prove: If A is invertible, then det(A¯1) = TeA %3D det(A) (b) Prove: If A is inverible, then adj(A) is invertible and JeH AA = ad(A¬!). NOT allowed to use [adj(A)]-1 det(A)
11.(a) Prove: If A is invertible, then det(A¯1) = TeA %3D det(A) (b) Prove: If A is inverible, then adj(A) is invertible and JeH AA = ad(A¬!). NOT allowed to use [adj(A)]-1 det(A)
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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Please sovle for me this question in hand writting. Please dont solve in computer text. Again I need it in hand writting this qestion solution
![11.(a) Prove: If A is invertible, then det(A-) = A
det(A)
(b) Prove: If A is inverible, then adj(A) is invertible and
[adj(A)]- = TeA A = adj(A-1). NOT allowed to use C
det(A)
O Type here to search](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F05419715-1bd0-4457-a143-03af22167dbf%2F63650692-1753-46ed-a764-915df7b9d9e1%2Fnfeelgu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:11.(a) Prove: If A is invertible, then det(A-) = A
det(A)
(b) Prove: If A is inverible, then adj(A) is invertible and
[adj(A)]- = TeA A = adj(A-1). NOT allowed to use C
det(A)
O Type here to search
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