3. Consider the following matrix and answer the following questions: A = (a)-12 points Without doing any calculations explain why A is diagonalizable. A is diognozible because it's also is invertible (b) Compute the eigenvalues of A. (c) 16 points) Compute the eigenvectors of A. -1=

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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3.
Consider the following matrix and answer the following questions:
-CO
A =
(a) 12 points Without doing any calculations explain why A is diagonalizable.
A is
diagnozible because it's
olso is invertible
Compute the eigenvalues of A.
(5²
(c) 16 points) Compute the eigenvectors of A.
-1-
AC
Transcribed Image Text:3. Consider the following matrix and answer the following questions: -CO A = (a) 12 points Without doing any calculations explain why A is diagonalizable. A is diagnozible because it's olso is invertible Compute the eigenvalues of A. (5² (c) 16 points) Compute the eigenvectors of A. -1- AC
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