Consider a linear system (a) (b) 2x + 3z = k²2 - k-6 3x - 2y = k²-9 x + 2y + 6z = 2k - 6 For what value(s) of k, is the linear system homogeneous? When k = 1, determine whether the system is consistent.

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
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Consider a linear system
(b)
2x + 3z = k² − k - 6
3x - 2y = k²9
x + 2y + 6z = 2k - 6
For what value(s) of k, is the linear system homogeneous?
When k = 1, determine whether the system is consistent.
Transcribed Image Text:Consider a linear system (b) 2x + 3z = k² − k - 6 3x - 2y = k²9 x + 2y + 6z = 2k - 6 For what value(s) of k, is the linear system homogeneous? When k = 1, determine whether the system is consistent.
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