23. Let a A = [3 2]. B=[ª b]. d and ¹= [1 2]. Find B so that AB = I= BA as follows: First equate en- tries on the two sides of the equation AB = I. Then solve the resulting four equations for a, b, c, and d. Finally verify that BA = I as well.
23. Let a A = [3 2]. B=[ª b]. d and ¹= [1 2]. Find B so that AB = I= BA as follows: First equate en- tries on the two sides of the equation AB = I. Then solve the resulting four equations for a, b, c, and d. Finally verify that BA = I as well.
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,...
Related questions
Question
![Problems 23 through 26 introduce the idea-developed more
fully in the next section of a multiplicative inverse of a square
matrix.
23. Let
2
А
B =
=
A-[39]- *-[23]
2]. = [a b].
¹ = [1 2].
and
Find B so that AB = I= BA as follows: First equate en-
tries on the two sides of the equation AB = I. Then solve
the resulting four equations for a, b, c, and d. Finally
verify that BA = I as well.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F35130480-ce61-412d-a9bb-70fe97997c47%2Fcdbdc066-3359-42e9-8464-e95a92b909b0%2F10xoe1_processed.png&w=3840&q=75)
Transcribed Image Text:Problems 23 through 26 introduce the idea-developed more
fully in the next section of a multiplicative inverse of a square
matrix.
23. Let
2
А
B =
=
A-[39]- *-[23]
2]. = [a b].
¹ = [1 2].
and
Find B so that AB = I= BA as follows: First equate en-
tries on the two sides of the equation AB = I. Then solve
the resulting four equations for a, b, c, and d. Finally
verify that BA = I as well.
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