hw5.4_5 - M340L Homework solutions 5.5-5.6 Yoonsang...

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Unformatted text preview: M340L Homework solutions 5.5-5.6 Yoonsang Lee([email protected]) 5.5.2 = 3 + i, 5.5.6 = 4 - 3i, 5.5.8 = 2+i 2-i ; = 3 - i, 1 1 i -i , = 4 + 3i, 1 1 12 = 2 3 3 3i , = -/3 radian, r = 5.5.12 = .3i , = -/2 radians,r = .3 1 2 -3 1 3 5.6.2 xk = 2 3k 0 + 1 ( 4 )k 1 + 2 ( 5 )k -3 So xk 2 3k 0 for all k sufficiently large. 5 -3 5 7 3 5.6.8 Saddlle point(because one or more eigenvalues are greater than 1, and one or more eigenvalues are less than 1, in magnitude); direction of greatest repulsion: the line through (0, 0, 0) and (1, 0, -3); direction of greatest attraction: the line through (0, 0, 0) and (-3, -3, 7). 1 ...
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This note was uploaded on 04/07/2008 for the course M 340L taught by Professor Pavlovic during the Spring '08 term at University of Texas.

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