Consider the system of linear equations below with k a real number. x + y + : -1 : = 1 (1 – k²): = 1-k y 13.1 For which value(s) of k is the system inconsistent? Write down the value(s) of k. Do not show calculations. 13.2 For which value(s) of k is the system consistent with a unique solution? Write down the value(s) of k. Do not show calculations.

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 system of linear equations below with k a real number.
х + у +
z = 1
y
1
(1 – k²)z = 1-k
13.1 For which value(s) of k is the system inconsistent?
Write down the value(s) of k. Do not show calculations.
13.2 For which value(s) of k is the system consistent with a unique solution?
Write down the value(s) of k. Do not show calculations.
Transcribed Image Text:Consider the system of linear equations below with k a real number. х + у + z = 1 y 1 (1 – k²)z = 1-k 13.1 For which value(s) of k is the system inconsistent? Write down the value(s) of k. Do not show calculations. 13.2 For which value(s) of k is the system consistent with a unique solution? Write down the value(s) of k. Do not show calculations.
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