2. Apply the eigenvalue method to find solve the initial value problem: (a) x = 3x, + 4x2 x = 3x, + 2x2 x,(0) = x,(0) = 1 (b) xị = 2x1 – 5x2 xi = 4x1 – 2x2 x1(0) = 2, x2(0) = 3

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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2. Apply the eigenvalue method to find solve the initial value problem:
(a) xí = 3x1 + 4x2
x2 = 3x1 + 2x2
x,(0) = x,(0) = 1
(b) xí = 2x1 – 5x2
x = 4x1 – 2x2
x1(0) = 2, x2(0) = 3
%3D
Transcribed Image Text:2. Apply the eigenvalue method to find solve the initial value problem: (a) xí = 3x1 + 4x2 x2 = 3x1 + 2x2 x,(0) = x,(0) = 1 (b) xí = 2x1 – 5x2 x = 4x1 – 2x2 x1(0) = 2, x2(0) = 3 %3D
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