The following systems contain either one or two parameters. For what values of the parameter k is the following system consistent? For which of those values is the solution unique? а. -x1 + 2x2 = 3 2x1 – 4x2 = k %3D | b. For what values of the parameters k and / is the following system consistent? For which of those values is the solution unique? 2x1 + 4x2 = 3 -x1 + kx2

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
Section11.5: Cramer's Rule
Problem 35PS
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4. The following systems contain either one or two parameters.
For what values of the parameter k is the following system consistent? For
which of those values is the solution unique?
а.
-x1 + 2x2 = 3
2x1 – 4x2
k
||
b. For what values of the parameters k and / is the following system
consistent? For which of those values is the solution unique?
2x1 + 4x2
3
-x1 + kx2
Transcribed Image Text:4. The following systems contain either one or two parameters. For what values of the parameter k is the following system consistent? For which of those values is the solution unique? а. -x1 + 2x2 = 3 2x1 – 4x2 k || b. For what values of the parameters k and / is the following system consistent? For which of those values is the solution unique? 2x1 + 4x2 3 -x1 + kx2
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