-1 Question6Let A =| 1 3 -3 a) Find all eigenvalues and corresponding eigenvectors. b) Find matrices P and D such that P is nonsingular and D = P-'AP is diagonal. c) Compute A3.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Question6Let A =|1 3
a) Find all eigenvalues and corresponding eigenvectors.
b) Find matrices P and D such that P is nonsingular and D = P-1AP
is diagonal.
c) Compute A3.
Transcribed Image Text:-1 Question6Let A =|1 3 a) Find all eigenvalues and corresponding eigenvectors. b) Find matrices P and D such that P is nonsingular and D = P-1AP is diagonal. c) Compute A3.
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