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(c) If A and B are invertible, express [(AB)-¹]ª with A−¹ and B-¹.

(c) If A and B are invertible, express [(AB)-¹]ª with A−¹ and B-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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(a) Let A = [12] find A-¹, (A-¹) and (AT)-¹. Is (A-¹) = (AT)-¹? 3 2 9 (b) Let A = 2 (c) If A and B are invertible, express [(AB)-¹]ª with A-¹ and B−¹. B = find ATBT, BT AT and (AB)T. Is (AB)T = (A)T(B)T? 9
Transcribed Image Text:(a) Let A = [12] find A-¹, (A-¹) and (AT)-¹. Is (A-¹) = (AT)-¹? 3 2 9 (b) Let A = 2 (c) If A and B are invertible, express [(AB)-¹]ª with A-¹ and B−¹. B = find ATBT, BT AT and (AB)T. Is (AB)T = (A)T(B)T? 9
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