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 and Trigonometry (MindTap Course List)
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Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter10: Systems Of Equations And Inequalities
Section10.CR: Chapter Review
Problem 5CC: What operations can be performed on a linear system to arrive at an equivalent system?
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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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