Show that A and B are inverse matrices if A = - 1 -2-5 2 0 1 0 2-1 and B = 5 2 5 -2 -1 -2 6 2 5 Select the correct choice below and fill in any answer boxes to complete your choice. (Simplify your answers. Type an integer or simplified fraction for each matrix element.) and B-A= A. The matrices A and B are inverses because A - B = B. The matrices A and are inverses because A+B= OC. The matrices A and B are inverses because AB = and B + A = and BA =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 17E
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Question
Show that A and B are inverse matrices if A =
- 1
-2
2
0 1
-5
0 0 and B =
2-1
52 5
-2 -1 -2
6 2
2 5
Select the correct choice below and fill in any answer boxes to complete your choice.
(Simplify your answers. Type an integer or simplified fraction for each matrix element.)
OA. The matrices A and B are inverses because A - B =
OB. The matrices A and B are inverses because A + B =
Oc. The matrices A and B are inverses because AB =
and B-A=
and B+A=
and BA =
K
S
Transcribed Image Text:Show that A and B are inverse matrices if A = - 1 -2 2 0 1 -5 0 0 and B = 2-1 52 5 -2 -1 -2 6 2 2 5 Select the correct choice below and fill in any answer boxes to complete your choice. (Simplify your answers. Type an integer or simplified fraction for each matrix element.) OA. The matrices A and B are inverses because A - B = OB. The matrices A and B are inverses because A + B = Oc. The matrices A and B are inverses because AB = and B-A= and B+A= and BA = K S
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