Give all values of k such that the system 3x + y + k²z = k² -6x + 3y + 2(k – k² )z = 10 – 2k² -3x + 24y + 16z = -14 1. has a unique solution 2. has infinitely many solutions 3. has no solutions

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Give all values of k such that the system
3x + y + k? z = k²
-6x + 3y + 2(k – k² )z = 10 – 2k²
-3x + 24y + 16z = -14
1. has a unique solution
2. has infinitely many solutions
3. has no solutions
Transcribed Image Text:Give all values of k such that the system 3x + y + k? z = k² -6x + 3y + 2(k – k² )z = 10 – 2k² -3x + 24y + 16z = -14 1. has a unique solution 2. has infinitely many solutions 3. has no solutions
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