Final_Fall-2008-09_Section-9

Exercise 3 12 points 8 points 4 points 06 08 consider

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

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

Unformatted text preview: ise 3: 12 points (8 points + 4 points) 0.6 0.8 Consider the matrix . 0.4 0.2 . a) Find a matrix P that diagonalizes A, and determine 2/3 2/3 tends to a limiting matrix as b) Prove that 1/3 1/3 12 points Find a 3 3 matrix A that has eigenvalues 0 1 0 eigenvectors 1, 1 and 1 respectively. 1 1 1 Exercise 4: Exercise 5: 12 points (3 points + 9 points) Consider the polynomials 1 and 1 . form a basis for P1. a) Show that the set of polynomials , b) Let L be the linear transformation from P1 to M22 such that 10 01 1 and 1 . 01 10 Ex...
View Full Document

This note was uploaded on 02/07/2014 for the course MATH 218 taught by Professor Rananassif during the Summer '07 term at American University of Beirut.

Ask a homework question - tutors are online