ii. If A = 2 [2 51 [3 B = 1, then show that %3D 8 15 [4] (i) (AB)-1 = B-'A-1 (ii) (AB)" = B" A" (iii) (ЗА — 2B)Т — 3АТ — 2BТ (iii) det(AB) = det A det B | :=

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.4: Hyperbolas
Problem 5ECP: Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.
icon
Related questions
Question
100%

9ii- Please I want solution of all sub-parts of this question. Thanks

If A = B =
[2
ii.
В
1, then show that
[4]
(i)
(AB)-1 = B-1A-1
(ii) (AB)" = B" A™
(ii)
(iii) det(AB) = det A· det B
%3D
Transcribed Image Text:If A = B = [2 ii. В 1, then show that [4] (i) (AB)-1 = B-1A-1 (ii) (AB)" = B" A™ (ii) (iii) det(AB) = det A· det B %3D
Expert Solution
steps

Step by step

Solved in 5 steps

Blurred answer
Knowledge Booster
Linear Equations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning