Consider a linear system 2x + 3z = k? + k - 6 3x - 2y = k2 -9 x+2y + 6z = -2k – 6 (a) For what value(s) of k, is the linear system homogeneous? (b) 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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Solve both parts in 30 min and plz correctly according to given question plz solve correctly
Consider a linear system
2x + 3z = k + k - 6
3x – 2y = k - 9
x + 2y + 6z = -2k – 6
For what value(s) of k, is the linear system homogeneous?
(b)
When k = -1, determine whether the system is consistent.
Transcribed Image Text:Consider a linear system 2x + 3z = k + k - 6 3x – 2y = k - 9 x + 2y + 6z = -2k – 6 For what value(s) of k, is the linear system homogeneous? (b) When k = -1, determine whether the system is consistent.
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