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Unformatted text preview: Math 33b, Quiz 7ac, March 11, 2008 Name: UCLA ID: Consider the system of differential equations x ′ ( t ) = M x , where M is each of the matrices below. For each system of differential equations, a sample solution in the x y plane is plotted below. Below each matrix, write the letter of the corresponding graph. (You need not show your work.) Do not assign more than one graph to a matrix or viceversa. i. parenleftbigg . 6 . 4 . 3 . 2 parenrightbigg . ii. parenleftbigg . 4 0 . 1 . 1 0 . 4 parenrightbigg . iii. parenleftbigg . 1 . 5 . 2 0 . 1 parenrightbigg . iv. parenleftbigg . 3 . 4 . 2 . 6 parenrightbigg . (Note that in the actual quiz which was handed out in section, arrows were handdraws on each of the graphs. In A and B, the arrows point to the right. In C and D, they point away from the origin.) 4 3 2 1 1 2 3 4 4 3 2 1 1 2 3 4 A 4 3 2 1 1 2 3 4 4 3 2 1 1 2 3 4 B 4 3 2 1 1 2 3 4 4 3 2 1 1 2 3 4 C 4 3 2 1 1 2 3 4 4 3 2 1 1 2 3 4 D Solution. iA, iiC, iiiD, ivB....
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 Spring '07
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 Differential Equations, Equations, Matrices, Eigenvalue, eigenvector and eigenspace, 2

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