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-[1] -- 0 X 2.8 c = 0, y = t Z x c = 1, y = t-1 Z X c = -1, y = t Z 1 1 2.8. Consider the system of linear equations x+y+z=0 cy + z = 0 x+y+c²z = 0. Find the value(s) of the scalar c for which the system of equations has non-trivial solutions. For each such value of c, write down the corresponding solutions.

-[1] -- 0 X 2.8 c = 0, y = t Z x c = 1, y = t-1 Z X c = -1, y = t Z 1 1 2.8. Consider the system of linear equations x+y+z=0 cy + z = 0 x+y+c²z = 0. Find the value(s) of the scalar c for which the system of equations has non-trivial solutions. For each such value of c, write down the corresponding solutions.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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-[1] -- 0 X 2.8 c = 0, y = t Z x c = 1, y = t-1 Z X c = -1, y = t Z 1 1
Transcribed Image Text:-[1] -- 0 X 2.8 c = 0, y = t Z x c = 1, y = t-1 Z X c = -1, y = t Z 1 1
2.8. Consider the system of linear equations x+y+z=0 cy + z = 0 x+y+c²z = 0. Find the value(s) of the scalar c for which the system of equations has non-trivial solutions. For each such value of c, write down the corresponding solutions.
Transcribed Image Text:2.8. Consider the system of linear equations x+y+z=0 cy + z = 0 x+y+c²z = 0. Find the value(s) of the scalar c for which the system of equations has non-trivial solutions. For each such value of c, write down the corresponding solutions.
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