1. (a) Find L {t*et – e' cos /7t}COS(b) Find L{sin 2t sin 5t}. [ Recall sin A sin B = }[cos(A – B) – cos(A + B)].(c) Find L-1 {2s2+10s(s² –2s+5)(s+1) S x" + 3x' – 2y = 0(b) Express the systemas a first order system by putting x1 =y' + a' – yx, x2 = x', x3 = y, and then find the eigenvalues.= 0

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Answered: 1. (a) Find L {t*e#t – e' cos v7t} (b)…

1. (a) Find L {t*e#t – e' cos v7t} (b) Find L{sin 2t sin 5t}. [ Recall sin A sin B = }{cos(A – B) – cos(A + B).] 2s2+10s (c) Find L¯+ {-2s+5)(s+1))

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter5: Orthogonality

Section5.3: The Gram-schmidt Process And The Qr Factorization

Problem 1BEXP

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Question

1. (a) Find L {t*et – e' cos /7t}
COS
(b) Find L{sin 2t sin 5t}. [ Recall sin A sin B = }[cos(A – B) – cos(A + B)].
(c) Find L-1 {
2s2+10s
(s² –2s+5)(s+1) S

x" + 3x' – 2y = 0
(b) Express the system
as a first order system by putting x1 =
y' + a' – y
x, x2 = x', x3 = y, and then find the eigenvalues.
= 0

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