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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Question
Please show me step by step how to do this with answer.
![Problem 10. Let
A =
с
Show that A is invertible if ad - cb / 0 by letting
1
d
B-ad-co [ca]
=
cb-c
and showing that AB = BA = I₂.
-1
Notice: B is then A-¹ and this problem gives us a formula for the inverse of a 2×2 matrix,
so long as ad — bc ‡ 0. This is a very important formula and should be memorized.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F781395ef-5933-4a4d-9640-3099b49e30d5%2Ffe164622-5312-458b-9401-b9b63f8899b7%2Fx8sh894d_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 10. Let
A =
с
Show that A is invertible if ad - cb / 0 by letting
1
d
B-ad-co [ca]
=
cb-c
and showing that AB = BA = I₂.
-1
Notice: B is then A-¹ and this problem gives us a formula for the inverse of a 2×2 matrix,
so long as ad — bc ‡ 0. This is a very important formula and should be memorized.
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