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4. If the product D = ABC of three square matrices is invertible, then A must be invertible (so are B and C). Find a formula for A-1 (i.e. A-1 = ...) that involves only the matrices A, B, B-1, C, C-1, D and/or D-1.

4. If the product D = ABC of three square matrices is invertible, then A must be invertible (so are B and C). Find a formula for A-1 (i.e. A-1 = ...) that involves only the matrices A, B, B-1, C, C-1, D and/or D-1.

Advanced Engineering Mathematics
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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4. If the product D = ABC of three square matrices is invertible, then A must be invertible (so are B and C). Find a formula for A-1 (i.e. A-1 = ...) that involves only the matrices A, B, B-1, C, C-1, D and/or D-1.
Transcribed Image Text:4. If the product D = ABC of three square matrices is invertible, then A must be invertible (so are B and C). Find a formula for A-1 (i.e. A-1 = ...) that involves only the matrices A, B, B-1, C, C-1, D and/or D-1.
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