HW6.EGM4313

# HW6.EGM4313 - Page 348 problem 13 Real symmetric implies...

This preview shows pages 1–3. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

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

Unformatted text preview: Page 348, problem 13: Real symmetric implies real eigenvalues ( 29 ( 29 18 , 18 , 9 9 18 2916 648 45 17 2 2 2 14 4 2 4 14 2 2 3 = ⇒ =--- = +- +- =----- λ λ λ λ λ λ λ λ λ Page 348, problem 14: Real skew-symmetric implies pure imaginary eigenvalues with conjugates or zero. i 18 , 324 12 12 12 6 12 6 3 ± = ⇒ =-- =------ λ λ λ λ λ λ Page 355, problem 9: ( 29 ( 29 ( 29 = ⇒ = = ⇒ = = ------ = = ⇒ = = ⇒ = = ----- = = ⇒ = = ⇒ = = ---- =- = =-- +- =- + +- =------- 2 3 , 2 3 60 40 24 9 6 18 15 10 42 : 45 3 5 , 3 5 24 40 24 9 30 18 15 10 6 : 9 2 1 , 1 2 42 40 24 9 66 18 15 10 30 : 27 45 , 9 , 27 45 9 27 27 1053 10935 15 40 24 9 39 18 15 10 3 1 3 2 3 2 1 3 2 1 3 2 1 2 1 3 3 2 1 3 2 x x x x Let x x x x x x x Let x x x x x x x Let x x x λ λ λ λ λ λ λ λ λ λ λ λ λ - = ---- --- = ⇒ =-- 45 9 27 15 40 24 9 39 18 15 10 3 12 / 1 18...
View Full Document

## This note was uploaded on 09/05/2011 for the course EGM 4313 taught by Professor Mei during the Spring '08 term at University of Florida.

### Page1 / 5

HW6.EGM4313 - Page 348 problem 13 Real symmetric implies...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online