Practice 4 Solutions

Find an where a is the matrix 1 21 2 2 a 1 1 1 2 1

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: 0 = 9 9 3 243 −2 −4 6 −2 20 3t λ = 3, 0, 0 7 −7 −1 e 1 t 7 + 2 + −1 y= 9 9 3 7 2 2 3t , 3 × 3 Exercise Set G (identical roots), November , 3 × 3 Exercise Set G (identical roots) Linear Algebra, Dave Bayer, November , [1] Find An where A is the matrix 2 33 3 1 A = −2 2 −1 1 λ = 2, 2, 2 0 0 0 100 0 3 3 n−2 n(n − 1) 2 0 −6 −6 1 1 + = 2n 0 1 0 + n 2n−1 −2 2 0 6 6 001 2 −1 −1 An [2] Find An where A is the matrix 1 −1 1 1 A = 2 −2 1 −2 −2 λ = −1, −1, −1 3 −3 0 100 2 −1 1 n(n − 1) (−1)n−2 3 −3 0 1 + = (−1)n 0 1 0 + n (−1)n−1 2 −1 2 −3 30 001 1 −2 −1 An [3] Find An where A is the matrix 3 3 −2 A = −1 −1 −2 1 1 −2 λ = 0, 0, 0 4 4 −8 100 3 3 −2 n−2 n(n − 1) 0 −4 −4 8 = 0n 0 1 0 + n 0n−1 −1 −1 −2 + 2 0 0 0 001 1 1 −2 An [4] Find An where A is the matrix 1 1 1 A = −1 −2 −1 1 3 1 λ = 0, 0, 0 3 × 3 Exercise Set G (identical roots), November 1 2 1 100 1 1 1 n−2 n(n − 1) 0 0 0 0 = 0n 0 1 0 + n 0n−1 −1 −2 −1 + 2 −1 −2 −1 001 1 3 1 An [5] Find An where A is the matrix 3 2 2 A = −2 −1 −2 3 3 1 λ = 1, 1, 1 6 60 100 2 2 2 n(n − 1) −6 −6 0 = 0 1 0 + n −2 −2 −2 + 2 0 00 001 3 3 0 An [6] Find An where A is the matrix 2 1 −1 1 A = −2 −1 −1 −2 −1 λ = 0, 0, 0 3 30 100 2 1 −1 n−2 n(n − 1) 0 −3 −3 0 1 + = 0n 0 1 0 + n 0n−1 −2 −1 2 3 30 001 −1 −2 −1 An [7] Find An where A is the matrix −1 21 2 2 A = −1 1 ...
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