1. For any matrices A, B, and C of appropriate sizes, show that if C and A = A-BC-'B" are invertible, then A B -Ã-'BC-1 BT C -C-'B"Ã-1 C-1+C-'B"Ã-'BC-1 Give a direct proof using the orthogonalization idea. I request u please give step by step answer with correctness using the method which is given in question If answer not step by step surely gives u dislikes

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. For any matrices A, B, and C of appropriate sizes, show that if C and à = A-BC-'B"
are invertible, then
-Ã-'BC-1
-C-'B"Ã-1 C-1+C-'B"Ã-'BC-1
А В
BT C
Give a direct proof using the orthogonalization idea.
I request u please give step by step answer with correctness using the method which is given in
question
If answer not step by step surely gives u dislikes
Transcribed Image Text:1. For any matrices A, B, and C of appropriate sizes, show that if C and à = A-BC-'B" are invertible, then -Ã-'BC-1 -C-'B"Ã-1 C-1+C-'B"Ã-'BC-1 А В BT C Give a direct proof using the orthogonalization idea. I request u please give step by step answer with correctness using the method which is given in question If answer not step by step surely gives u dislikes
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