Use (9.11) and (9.12) to simplify (ABTC)T, (С-1мс) -1, (АН) -"(АНА-1)"(НА-1) -1.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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(9.11)
(ABCD)" = D"C™B"A".
The transpose of a product of matrices is equal to the product of the transposes
in reverse order.
(9.12)
(ABCD)-1 = D¯'c-!B-!A¬!.
The inverse of a product of matrices is equal to the product of the inverses in
reverse order.
Transcribed Image Text:(9.11) (ABCD)" = D"C™B"A". The transpose of a product of matrices is equal to the product of the transposes in reverse order. (9.12) (ABCD)-1 = D¯'c-!B-!A¬!. The inverse of a product of matrices is equal to the product of the inverses in reverse order.
Use (9.11) and (9.12) to simplify (AB"C)", (C¯'MC)-1, (AH)¯'(AHA-!)*(HA-!)-1.
Transcribed Image Text:Use (9.11) and (9.12) to simplify (AB"C)", (C¯'MC)-1, (AH)¯'(AHA-!)*(HA-!)-1.
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