. If A and C are non-singular matrices, then show that A-1 - C-'BA¬1 C A 0 B C 1 Hence find inverse of 0 2 0 0 3 0 4 0 1 0 3

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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If A and C are non-singular matrices, then show that
A-1
A 0
B C
- C-'BA-1
C
0 0 0
0 200
0 4 0
0 1 0 3
1
Hence find inverse of
3
Transcribed Image Text:If A and C are non-singular matrices, then show that A-1 A 0 B C - C-'BA-1 C 0 0 0 0 200 0 4 0 0 1 0 3 1 Hence find inverse of 3
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