Determine the values of k such that the system of linear equations is inconsistent .e. it has no solutions). S ka + y = 0 x+ ky = 1

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 85E: Determine the values of k such that the system of linear equations does not have a unique solution....
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) Determine the values of k such that the system of linear equations is inconsistent
(i.e. it has no solutions).
kx +y = 0
|x+ ky = 1
Transcribed Image Text:) Determine the values of k such that the system of linear equations is inconsistent (i.e. it has no solutions). kx +y = 0 |x+ ky = 1
Expert Solution
Step 1

Consider the provided equation,

kx+y=0 ...... 1x+ky=1 ...... 2

Determine the value of k such that the system of linear equations is inconsistent.

 To solve the provided equations we multiply the second equation by k and substract from the equation (2).

kx+y-kx-k2y=0-1y1-k2=-1y=-11-k2

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