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

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

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 ...
View Full Document

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.

Ask a homework question - tutors are online