Show that B is the inverse of A. [ 5 1 2 -1 A = В - 9 2 -9 To show that B is the inverse of A, we need to show that AB = I = BA. 10 + -5 + 5 1 2 -1 %3D AB = 9 2 -9 18 + -9 + 10 + 2 + 2 -1 5 1 ВА 3 %3D -9 9 2 -45 + -9 +

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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Show that B is the inverse of A
Show that B is the inverse of A.
[
5 1
2 -1
A =
B =
9 2
-9
To show that B is the inverse of A, we need to show that AB = I = BA.
5 1
2 -1
10 +
-5 +
AB =
=
9 2
-9
5
18 +
-9 +
2 -1
5 1
10 +
2 +
BA =
%3D
-9
5
9 2
-45 +
-9 +
Nood U
II
Transcribed Image Text:Show that B is the inverse of A. [ 5 1 2 -1 A = B = 9 2 -9 To show that B is the inverse of A, we need to show that AB = I = BA. 5 1 2 -1 10 + -5 + AB = = 9 2 -9 5 18 + -9 + 2 -1 5 1 10 + 2 + BA = %3D -9 5 9 2 -45 + -9 + Nood U II
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