Question: (a) Find the eigenvalues and eigenvectors of (b) Verify that the eigenvectors are mutually orthogonal. Based on part (a), is K positive definite, positive semi-definite

(a) Find the eigenvalues and eigenvectors of

(b) Verify that the eigenvectors are mutually orthogonal. Based on part (a), is K positive definite, positive semi-definite or indefinite?
(c) Solve the initial value problem

using orthogonality to simplify the computations.

011 121 110 du dt -Ku, u(0)=

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