Let A be the matrix: 3 0 0 0 2 4 -5 A = -2 0 2 -3 -1 2 1 -3, a) Compute the characteristic polynomial of A, and hence find its eigenvalues and their multiplicities (you should find two distinct eigenvalues).

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Chapter2: Second-order Linear Odes
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B2: Let A be the matrix:
3 0 0 0
2 4 -5
-2 0 2 -3
A =
(-1 2 1 -3,
a) Compute the characteristic polynomial of A, and hence find its
eigenvalues and their multiplicities (you should find two distinct
eigenvalues).
Transcribed Image Text:B2: Let A be the matrix: 3 0 0 0 2 4 -5 -2 0 2 -3 A = (-1 2 1 -3, a) Compute the characteristic polynomial of A, and hence find its eigenvalues and their multiplicities (you should find two distinct eigenvalues).
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