1. Given the system of linear equations, X + y Z 2, + 2y + 3z X 5, 2x + 3y + (m-3)z m, where m is a constant. Find the value(s) of m such that the system a) does not have solution, b) has infinitely many solutions, c) has a unique solution. + ||

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.2: Guassian Eliminationa And Guass-jordan Elimination
Problem 54E
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Please show the solution clearly Tq
1. Given the system of linear equations,
X
Y +
2
2,
+
X + 2y +
3z
5,
2x + 3y +
(m-3)z
= m,
where m is a constant. Find the value(s) of m such that the system
a) does not have solution,
b) has infinitely many solutions,
c) has a unique solution.
Transcribed Image Text:1. Given the system of linear equations, X Y + 2 2, + X + 2y + 3z 5, 2x + 3y + (m-3)z = m, where m is a constant. Find the value(s) of m such that the system a) does not have solution, b) has infinitely many solutions, c) has a unique solution.
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