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a) Let A = 1²21 0 " find A-¹, (A-¹) and (AT)-¹. Is (A-¹)T = (AT)−¹?

a) Let A = 1²21 0 " find A-¹, (A-¹) and (AT)-¹. Is (A-¹)T = (AT)−¹?

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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(a) Let A = 0 " 2 find A-¹, (A-¹) and (AT)−¹. Is (A−¹)T = (AT)-¹? B = [3 (b) Let A = (c) If A and B are invertible, express [(AB)-¹]T with A-¹ and B-¹. find AT BT, BT AT and (AB)T. Is (AB)T = (A)T (B)T? 9
Transcribed Image Text:(a) Let A = 0 " 2 find A-¹, (A-¹) and (AT)−¹. Is (A−¹)T = (AT)-¹? B = [3 (b) Let A = (c) If A and B are invertible, express [(AB)-¹]T with A-¹ and B-¹. find AT BT, BT AT and (AB)T. Is (AB)T = (A)T (B)T? 9
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Step 1: To determine the given Matrix.

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