A system of coupled ODEs, where x = x(t), are expressed in the matrix form = 7 x' = (-1034)x where x = (x) with initial values x(0) = (-3). i. ii. iii. iv. V. State the two 1st order ODES. Find the eigenvalues and eigenvectors analytically. Using Matlab, show that your solutions to ii are correct (include screenshot). Find the particular solutions to x(t) and y(t). What are the values of x(t) and y(t), to 3 s.f., when t=5?

A system of coupled ODEs, where x = x(t), are expressed in the matrix form = 7 x' = (-1034)x where x = (x) with initial values x(0) = (-3). i. ii. iii. iv. V. State the two 1st order ODES. Find the eigenvalues and eigenvectors analytically. Using Matlab, show that your solutions to ii are correct (include screenshot). Find the particular solutions to x(t) and y(t). What are the values of x(t) and y(t), to 3 s.f., when t=5?

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 8BEXP

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