Math 54 - Quiz 09, Spring 2006

Math 54 - Quiz 09, Spring 2006 - x = ± 2 4 4 2 ² x x(0 =...

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Math 54, Quiz 9 Sections 202/203 GSI Carter Name: 1. Write the word “true” or “false”: Let A be a 3 × 3 matrix with real entries and complex eigenvalue α + βi (that is, α is a real number and β is a nonzero real number). Then A has three distinct eigenvalues. 2. (a) Solve the following initial value problem:
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Unformatted text preview: x = ± 2 4 4 2 ² x x (0) = ± 1 ² (b) What type of system is the above differential equation? Circle one. i. source ii. sink iii. saddle point iv. spiral in v. spiral out vi. periodic 1...
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