Question 2 (a) Given matrix A: (i) (ii) (iii) ГО A = 1 0 -37 1 1 L2 0 5 Show with working that the eigenvalues of matrix A are 1, 2 and 3. Compute the eigenvectors of the corresponding eigenvalues. Hence obtain the eigendecomposition of A.

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Chapter2: Second-order Linear Odes
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Question 2
(a)
Given matrix A:
(i)
(ii)
(iii)
0 -37
1
1
L205
Show with working that the eigenvalues of matrix A are 1, 2 and 3.
ГО
A = 1
Compute the eigenvectors of the corresponding eigenvalues.
Hence obtain the eigendecomposition of A.
Transcribed Image Text:Question 2 (a) Given matrix A: (i) (ii) (iii) 0 -37 1 1 L205 Show with working that the eigenvalues of matrix A are 1, 2 and 3. ГО A = 1 Compute the eigenvectors of the corresponding eigenvalues. Hence obtain the eigendecomposition of A.
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