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Consider the initial value problem X₁ x(t) = dx 01 dt = (a) Find the eigenvalues and eigenvectors for the coefficient matrix. [18] P (b) Solve the initial value problem. Give your solution in real form. [18] X, x(0) and X₂ = = [8] V2 (181

Consider the initial value problem X₁ x(t) = dx 01 dt = (a) Find the eigenvalues and eigenvectors for the coefficient matrix. [18] P (b) Solve the initial value problem. Give your solution in real form. [18] X, x(0) and X₂ = = [8] V2 (181

Linear Algebra: A Modern Introduction
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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Consider the initial value problem dx dt X₁ = 71 = x(t) = = 1₁ (a) Find the eigenvalues and eigenvectors for the coefficient matrix. [8] (b) Solve the initial value problem. Give your solution in real form. [8] X, x(0) = [8] and X2 = Use the phase plotter pplane9.m in MATLAB to answer the following question. An ellipse with clockwise orientation v2 = 18 1. Describe the trajectory.
Transcribed Image Text:Consider the initial value problem dx dt X₁ = 71 = x(t) = = 1₁ (a) Find the eigenvalues and eigenvectors for the coefficient matrix. [8] (b) Solve the initial value problem. Give your solution in real form. [8] X, x(0) = [8] and X2 = Use the phase plotter pplane9.m in MATLAB to answer the following question. An ellipse with clockwise orientation v2 = 18 1. Describe the trajectory.
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