-) Find the values of the parameters a and B, for which the system 4+B 2x +. ay + y %3| ique solution;

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section: Chapter Questions
Problem 17RQ
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Theorem: A system of linear equations is consistent if and only if the rank of the augmented
matrix A equals the rank of the matrix A.
The augmented matrir
a12
ain b1
a21
a22
A2n
b2
Ā =
Anl an2
Ann bn)
is obtained by adding the constant terms vector b as an extra column to the coefficient matrix
of the system, A.
1. (5 Pts.) Find the values of the parameters a and B, for which the system
2x +. ay
4+B
has a unique solution;
Transcribed Image Text:Theorem: A system of linear equations is consistent if and only if the rank of the augmented matrix A equals the rank of the matrix A. The augmented matrir a12 ain b1 a21 a22 A2n b2 Ā = Anl an2 Ann bn) is obtained by adding the constant terms vector b as an extra column to the coefficient matrix of the system, A. 1. (5 Pts.) Find the values of the parameters a and B, for which the system 2x +. ay 4+B has a unique solution;
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