The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwise state that there is no solution. 1 2 -3 01 4 -5 00 0 0 x1 = 15 + 11x3 x2 = -5- 4x3 x3 = 0 x1 = 15 + 11x3 x2 = -5-4x3 X3 is free x1 = 5-2x2 + 3x3 x2 = -5-4x3 x3 is free x₁ = 5 - 2x2 + 3x3

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
The augmented matrix is given for a system of
equations. If the system is consistent, find the general
solution. Otherwise state that there is no solution.
1 2 3 5
0 1 4-5
00
0 0
x1 = 15 + 11x3
x2 = -5 - 4x3
x3 = 0
x1 = 15 + 11x3
x2 = -5 - 4x3
X3 is free
x1 = 5 -2x2 + 3x3
x2 = -5- 4x3
X3 is free
O
O
x1 = 5 - 2x2 + 3x3
X2 is free
X3 is free
Transcribed Image Text:The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwise state that there is no solution. 1 2 3 5 0 1 4-5 00 0 0 x1 = 15 + 11x3 x2 = -5 - 4x3 x3 = 0 x1 = 15 + 11x3 x2 = -5 - 4x3 X3 is free x1 = 5 -2x2 + 3x3 x2 = -5- 4x3 X3 is free O O x1 = 5 - 2x2 + 3x3 X2 is free X3 is free
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 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