(a) Let M be the matrix M- 3 5 (i) Find the eigenvalues of M, showing all working clearly. (ii) By Theorem 26.1, using the Singular Value Decomposition (SVD) we can write

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Page 3 of 6
(a) Let M be the matrix
M
||
(i) Find the eigenvalues of M, showing all working clearly.
(ii) By Theorem 26.1, using the Singular Value Decomposition (SVD) we
can write
M = UEV',
where U and V are orthogonal matrices. Use your answer to part (i)
above to write down the matrix E.
Transcribed Image Text:Page 3 of 6 (a) Let M be the matrix M || (i) Find the eigenvalues of M, showing all working clearly. (ii) By Theorem 26.1, using the Singular Value Decomposition (SVD) we can write M = UEV', where U and V are orthogonal matrices. Use your answer to part (i) above to write down the matrix E.
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