Consider the system 8 0 BALL] -4 6-4 a -26-8 a. Given that b-4, for which value of the parameter a E R does the system have no solutions? a = -4

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.1: Introduction To Systems Of Linear Equations
Problem 90E: Consider the system of linear equations in x and y. ax+by=ecx+dy=f Under what conditions will the...
icon
Related questions
Question

How do we solve this and any other related question. What if each row had an unknown variable(s).

please show complete steps it takes to get to the answer

Consider the system
4
8
0
46-4a -26-8
]
a. Given that b −4, for which value of the parameter a E R does the system have no solutions?
a =
Transcribed Image Text:Consider the system 4 8 0 46-4a -26-8 ] a. Given that b −4, for which value of the parameter a E R does the system have no solutions? a =
= -1/2.
a. The system has no solution when b ‡ -4 and a =
b. The system has exactly one solution for all a E R except a = −
-1/2.
c. The system has infinitely many solutions for a = -1/2 and b = -4.
Transcribed Image Text:= -1/2. a. The system has no solution when b ‡ -4 and a = b. The system has exactly one solution for all a E R except a = − -1/2. c. The system has infinitely many solutions for a = -1/2 and b = -4.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning