If A is the 2 × 2 matrix given by a b A = с d and if ad – bc + 0, the inverse is given by 1 d -b A-1 = ad - bc -C Use the formula above to find the inverse of the 2 x 2 matrix (if it exists). (If an answer does not exist, enter DNE.) 7 5 4 4 8 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,...
icon
Related questions
Question

If A is the 2 × 2 matrix given by

A =
 
a b
 
c d

and if ad − bc ≠ 0, the inverse is given by

A−1 = 
1
ad − bc
 
d −b
 
−c a
.

Use the formula above to find the inverse of the 2 × 2 matrix (if it exists). (If an answer does not exist, enter DNE.)

 
− 
7
4
5
4
 
 
 
8
3
2
9
 
   
 
   
If A is the 2 × 2 matrix given by
a b
A =
с d
and if ad – bc + 0, the inverse is given by
1
d -b
A-1 =
ad - bc
-C
Use the formula above to find the inverse of the 2 x 2 matrix (if it exists). (If an answer does not exist, enter DNE.)
7
5
4 4
8
9
Transcribed Image Text:If A is the 2 × 2 matrix given by a b A = с d and if ad – bc + 0, the inverse is given by 1 d -b A-1 = ad - bc -C Use the formula above to find the inverse of the 2 x 2 matrix (if it exists). (If an answer does not exist, enter DNE.) 7 5 4 4 8 9
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education