This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: . 4. (25) The matrix A = 1 14 4 2 21 1 has characteristic polynomial 1 t ( ) 2 t ( ) 2 . a. Find all eigenvalues and eigenvectors of A . b. Either find an invertible matrix S and a diagonal matrix D with S1 AS = D or explain why no such S and D exist. Name Page 2 of 2 Math 1502J 2pm Andrew Hour Test 3 Teaching Assistant 15 April 2004 Answers. 1. 1 3 2. A basis for the kernel is 21 1 . A basis for the image consists of the pivot columns 1 2 1 1 , 3 1 1 , 4 2 3. 21 4. a. l = 1 , 12 1 and = 2 , 1 2 , 1 2 b. S =1 1 12 2 1 2 D = 1 2 2...
View Full
Document
 Fall '07
 McClain
 Math

Click to edit the document details