9ii- I want solution of this question sub-parts with all steps, please. Thanks ii.If A =51% DL6 8=: , then show that[4](i)(AB)-1 = B-1A-1(ii) (AB)" = B"AT(ii)(ЗА — 2B)Т — 3АТ - 2BТ(iii) det(AB) = det A· det B

GivenA=2 56 8,B=3 -25 -4aTo showAB−1=B−1A−1Left hand side AB−1AB=2 56 83…

Answered: If A = B = [2 51 L6 [3 В 15 then show…

If A = B = [2 51 L6 [3 В 15 then show that -41 [4] (i) (AB)-1 = B-'A-1 (ii) (AB)T = B" AT (ii) (ЗА — 2B) — 3АТ - 2ВТ (iii) det(AB) = det A· det B %3D |

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section: Chapter Questions

Problem 5T

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9ii- I want solution of this question sub-parts with all steps, please. Thanks

ii.
If A =
51
% D
L6 8
=: , then show that
[4]
(i)
(AB)-1 = B-1A-1
(ii) (AB)" = B"AT
(ii)
(ЗА — 2B)Т — 3АТ - 2BТ
(iii) det(AB) = det A· det B

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