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Unformatted text preview: show a nontrivial linear combination resulting in the zero function. 3. (50 points) Solve the initial value problem x pp ( t ) + 2 x p ( t )3 x ( t ) = cos t, x (0) = 0 , x p (0) = 0 . (Note that this is not an equation of a damped vibration as the spring force term has a negative coeFcient.) 4. Let A : = 1 1 1 1 1 1 1 1 1 . (a) (20 points) Determine the eigenvalues of this matrix. (b) (20 points) Show bases for each eigenspace corresponding to the eigenvalues....
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This note was uploaded on 08/11/2008 for the course MATH 475 taught by Professor Balazs during the Fall '05 term at Wisconsin.
 Fall '05
 BALAZS
 Combinatorics, Matrices, Vector Space, Sets

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