Solved: Find all values of for which the homogeneous
Chapter 1, Problem 1.58(choose chapter or problem)
Find all values of \(\lambda\) for which the homogeneous system of linear equations has nontrivial solutions.
\(\begin{array}{r}(\lambda+2) x_{1}-\quad 2 x_{2}+3 x_{3}=0 \\-2 x_{1}+(\lambda-1) x_{2}+6 x_{3}=0 \\
2 x_{2}+\lambda x_{3}=0\end{array}\)
Text Transcription:
lambda
(lambda+2)x_1 - 2x_2 + 3x_3 = 0
-2x_1 + (lambda - 1)x_2 + 6x_3 = 0
x_1 + 2x_2 + lambda x_3 = 0
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