Let Mn be the n à n tridiagonal matrix whose diagonal entries are all equal to 0
Question:
(a) Find the eigenvalues and eigenvectors of M2 and M3 directly.
(b) Prove that the eigenvalues and eigenvectors of Mn are explicitly given by
for k = 1........n. How do you know that there are no other eigenvalues?
Transcribed Image Text:
= 2 cos- -(sin "k, san 2k, . sin"+1)
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a eigenvalues 1 1 eigenvectors b The j th entry of the ...View the full answer
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