Consider the following system of linear equations 3x + 2y + z = 0 x + y + z = 0 x − z = 0 with solutions of the form (x,y,z) where x,y,z are real numbers. Which of the following statements are correct? a) The system is consistent. b) The sum of any two solutions is a solution. c) The system has a unique solution.
Consider the following system of linear equations 3x + 2y + z = 0 x + y + z = 0 x − z = 0 with solutions of the form (x,y,z) where x,y,z are real numbers. Which of the following statements are correct? a) The system is consistent. b) The sum of any two solutions is a solution. c) The system 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
Section1.1: 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...
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Consider the following system of linear equations
3x + 2y + z = 0
x + y + z = 0
x − z = 0
with solutions of the form (x,y,z) where x,y,z are real numbers. Which of the following statements are correct?
a) The system is consistent.
b) The sum of any two solutions is a solution.
c) The system has a unique solution.
d) The system has infinitely many solutions.
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