Q3. (a) If Ax = 2 x, determine the eigenvalues and the corresponding eigenvectors for A = Hence, write down the associated modal matrix P and diagonal matrix D, and use these values to solve the following system differential equations: * = X, +4 X2 *2 = 2 x1 + 3 x2 Given that when t= 0, x1 = 0 and x2 = 2. %3D %3D

Q3. (a) If Ax = 2 x, determine the eigenvalues and the corresponding eigenvectors for A = Hence, write down the associated modal matrix P and diagonal matrix D, and use these values to solve the following system differential equations: * = X, +4 X2 *2 = 2 x1 + 3 x2 Given that when t= 0, x1 = 0 and x2 = 2. %3D %3D

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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