This preview shows page 1. Sign up to view the full content.
Unformatted text preview: 6 = 0 is an eigenvalue of A . Let ~ z = ~x + i~ y be an eigenvector of A corresponding to . Prove that ~x 6 = ~ 0, ~ y 6 = ~ 0 and that ~x 6 = k~ y . 5. Suppose that A is an n n matrix with real entries, and that = a + bi , b 6 = 0 is an eigenvalue of A . Let ~ z = ~x + i~ y be an eigenvector of A corresponding to . Prove that Span { ~x,~ y } contains no real eigenvector of A . 1...
View
Full
Document
This note was uploaded on 11/30/2010 for the course MATH 235/237 taught by Professor Wilkie during the Spring '10 term at Waterloo.
 Spring '10
 WILKIE
 Math

Click to edit the document details