Consider the following augmented matrix of an SLE in 3 variables. а 0ь 2 а 4 4 0а 2 Ь a Determine values of a and b such that the SLE has (i) a unique solution, (ii) a one- parameter solution (one free variable), (iii) a two-parameter solution, (iv) is inconsistent.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 42EQ
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Consider the following augmented matrix of an SLE in 3 variables.
а 0 ь 2
a
a 4 4
а 2 b
Determine values of a and b such that the SLE has (i) a unique solution, (ii) a one-
parameter solution (one free variable), (iii) a two-parameter solution, (iv) is inconsistent.
Transcribed Image Text:Consider the following augmented matrix of an SLE in 3 variables. а 0 ь 2 a a 4 4 а 2 b Determine values of a and b such that the SLE has (i) a unique solution, (ii) a one- parameter solution (one free variable), (iii) a two-parameter solution, (iv) is inconsistent.
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