Consider the following two systems. @ (b) -6x+3y=-2 4x + y (1) Find the inverse of the (common) coefficient matrix A of the two systems. A-¹- J-6z+3y=-1 4x + y = 3 (i) Find the solutions to the two systems by using the inverse, i.e. by evaluating A-¹b where b represents the right hand side (i.e. b= b[¹] for system (a) and b for system (b)). Solution to system (a): == Solution to system (b): Note: Enter exact values rather than decimal approximations. For example, Enter elm wim as "[[1/3,2/3], [1,4/3]]" or "(1/3)*[[1,2], [3,4]] rather than "[0.333333,0.666667]. [1, 1.333333]]"
Consider the following two systems. @ (b) -6x+3y=-2 4x + y (1) Find the inverse of the (common) coefficient matrix A of the two systems. A-¹- J-6z+3y=-1 4x + y = 3 (i) Find the solutions to the two systems by using the inverse, i.e. by evaluating A-¹b where b represents the right hand side (i.e. b= b[¹] for system (a) and b for system (b)). Solution to system (a): == Solution to system (b): Note: Enter exact values rather than decimal approximations. For example, Enter elm wim as "[[1/3,2/3], [1,4/3]]" or "(1/3)*[[1,2], [3,4]] rather than "[0.333333,0.666667]. [1, 1.333333]]"
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
Please also explain how you solved the problem thank you.
![Consider the following two systems.
(a)
(b)
A-¹ =
-6x+3y = -2
4z+y
=-4
(1) Find the inverse of the (common) coefficient matrix A of the two systems.
-6x + 3y =
| 4z+y
Solution to system (a): z =
(ii) Find the solutions to the two systems by using the inverse, i.e. by evaluating A-¹b where b represents the right hand side (ie.
b=
=[3¹] for system (a) and b = [] for system (b)).
Solution to system (b): z
= 3
Note: Enter exact values rather than decimal approximations. For example, Enter
M
131
ww/w
as "[[1/3,2/3], [1,4/3]]" or "(1/3)*[[1,2], [3,4]] rather than "[0.333333,0.666667]. [1, 1.333333]]"](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F43cd7d24-f915-4a6e-aaab-14c494e6938c%2F4b0fc524-bfab-4373-857a-df4b2271d793%2Fecc8gcj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the following two systems.
(a)
(b)
A-¹ =
-6x+3y = -2
4z+y
=-4
(1) Find the inverse of the (common) coefficient matrix A of the two systems.
-6x + 3y =
| 4z+y
Solution to system (a): z =
(ii) Find the solutions to the two systems by using the inverse, i.e. by evaluating A-¹b where b represents the right hand side (ie.
b=
=[3¹] for system (a) and b = [] for system (b)).
Solution to system (b): z
= 3
Note: Enter exact values rather than decimal approximations. For example, Enter
M
131
ww/w
as "[[1/3,2/3], [1,4/3]]" or "(1/3)*[[1,2], [3,4]] rather than "[0.333333,0.666667]. [1, 1.333333]]"
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 4 images
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education