test3spring08 - Differential Equations/ Linear Algebra Mid...

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Unformatted text preview: Differential Equations/ Linear Algebra Mid term Test -III MTH 2201 Duartion: 50 min 4/17/2008 Max. Credit: 30 points Answer all the questions. No credit will be given if only the answer is written without showing the relevant supporting work. Write legibly. The numbers at the end of each question indicate the maximum credit for the corresponding question. 1. Find the eigenvalues and eigenvectors of 2. Find the general solution of the system x y = -x + 3y = -3x + 5y [6] 3. Find the fundamental matrix of the system x y z = x+y-z = 2y = y-z [10] 4. Solve the following system of equations by Cramer's rule: x -4y +z = 6 4x -y +2z = -1 2x +2y -3z = -20 (Hint: Evaluate the required determinants using the properties of determinants.) [10] -1 3 -3 5 [4] 1 ...
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This note was uploaded on 02/11/2012 for the course MTH 2201 taught by Professor Kigaradze during the Spring '08 term at FIT.

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