Consider the linear system of equations, where k is a constant. erek x + y+ kz = k2 %3D x + ky + z = k kx +y + z = 1 Find the valus(s) of k such that: a) the system has a unique solution. b) the system has more than one solution. c) the system has NO solution.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.1: Systems Of Two Linear Equations In Two Variables
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Linear algebra 

Consider the linear system of equations, where k is a constant.
erek
x + y+ kz = k2
%3D
x + ky + z = k
kx +y + z = 1
Find the valus(s) of k such that:
a) the system has a unique solution.
b) the system has more than one solution.
c) the system has NO solution.
Transcribed Image Text:Consider the linear system of equations, where k is a constant. erek x + y+ kz = k2 %3D x + ky + z = k kx +y + z = 1 Find the valus(s) of k such that: a) the system has a unique solution. b) the system has more than one solution. c) the system has NO solution.
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