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Find the eigenvalues of the system via hand calculations without using any algorithm - x 1 - 2 x 2 - x 3 = 0

Find the eigenvalues of the system via hand calculations without using any algorithm

- x_{1} - 2 x_{2} - x_{3} = 0

- 3 x_{3} = 0

2 x_{2} - 2 x_{3} = 0

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