Practice 4 Solutions

# 201 1 1 0 111 1 0 1 1 1 a 0 2 1 1 111 0 00 111

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: 2, 4 An 1 −1 −1 110 1 −1 2 n n 1 2 4 1 1 + 1 1 0 + −1 1 −2 = −1 3 2 6 −1 1 1 000 2 −2 4 3 × 3 Exercise Set K (symmetric matrices), November , 3 × 3 Exercise Set K (symmetric matrices) Linear Algebra, Dave Bayer, November , [1] Find eAt where A is the matrix −3 1 0 A = 1 −2 −1 0 −1 −3 1 −1 −1 101 1 2 −1 −3t −t e e −1 0 0 0 + e 2 1 1 + 4 −2 = 3 2 6 −1 1 1 101 −1 −2 1 −4t λ = −4, −3, −1 eAt [2] Find eAt where A is the matrix −1 −1 −1 0 A = −1 −2 −1 0 −2 111 0 0 0 4 −2 −2 −2t 1 e 1 1 1 + e 0 1 −1 + −2 1 1 = 3 2 6 111 0 −1 1 −2 1 1 −3t λ = −3, −2, 0 eAt [3] Find eAt where A is the matrix −2 1 −1 0 A = 1 −1 −1 0 −1 4 −2 2 000 1 1 −1 −t e 1 e −2 1 −1 + 0 1 1 + 1 1 −1 = 6 2 3 2 −1 1 011 −1 −1 1 −3t λ = −3, −1, 0 eAt [4] Find eAt where A is the matrix 2 0 −1 1 A= 0 2 −1 1 3 1 −1 1 110 1 −1 −2 2t 4t e e e −1 1 −1 + 1 1 0 + −1 1 2 = 3 2 6 1 −1 1 000 −2 2 4 t λ = 1, 2, 4 eAt [...
View Full Document

## This document was uploaded on 03/24/2014 for the course MATH V2010 at Barnard College.

Ask a homework question - tutors are online