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Unformatted text preview: Ben Cooke Math 107 Test 4 • Do not open this test booklet until you are directed to do so. • You have 50 minutes to earn 100 points. • This exam is closed book. You are not allowed to use a calculator. • Show your work, as partial credit will be given. • Do not spend too much time on any one problem. Read them all through first and attack them in the order that allows you to make the most progress. • Sign the affirmation of the Duke community standard after you complete the test and before you turn it in. Problem Points Grade Name 1 20 2 20 3 20 4 20 5 10 6 10 Total 100 Name: 1 Ben Cooke Math 107 1. (20 points) Find the general solution of the system of differential equations Y ′ = bracketleftBigg 1 2 2 3 bracketrightBigg Y + bracketleftBigg x x bracketrightBigg . 2 Ben Cooke Math 107 2. (20 points) Given bases α = braceleftBiggbracketleftBigg 1 bracketrightBigg , bracketleftBigg 1 bracketrightBiggbracerightBigg and β = braceleftBiggbracketleftBigg 1 2 bracketrightBigg...
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 Spring '07
 Trangenstein
 Math, Linear Algebra, Characteristic polynomial, Canonical form, Ben Cooke

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