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# m260hw5 - Diﬀerential Equations Homework Assignment 5 Due...

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Unformatted text preview: Diﬀerential Equations Homework Assignment 5 Due on Thursday, February 24, at the start of the recitation you are registered in Your homework should have a cover sheet with the following information: course title, recitation, last and ﬁrst name (as they appear in the roster), number of homework. If you use several sheets, please staple them. The problems should be written neatly and in the order they were assigned. 111 Problem 1. Let A = 2 3 2 . 354 Determine whether A is invertible. If A is invertible, use Gaussian elimination to compute its inverse. Problem 2. Compute the determinant of the Vandermonde matrix 1 x x2 W = 1 y y 2 . 1 z z2 Simplify your answer. Problem 3. Find the eigenvalues and eigenvectors of 300 A = 1 1 2 . 324 Problem 4. Find the eigenvalues and eigenvectors of 70 0 A = 0 0 −3 . 03 0 Problem 5. Find the eigenvalues and eigenvectors of 201 A = 0 5 0 . 304 ...
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