a.) Find the eigenvalues and eigenvectors of this spring-mass system. You can round to two decimal places (e.g. 163.185 rounds to 163.19). b.) What type of equilibrium point is (0,0)? Explain. c.) For simplicity, assume k₁ = 1, k₂= -1. Write the solution for the position of the mass as a function of time.

a.) Find the eigenvalues and eigenvectors of this spring-mass system. You can round to two decimal places (e.g. 163.185 rounds to 163.19). b.) What type of equilibrium point is (0,0)? Explain. c.) For simplicity, assume k₁ = 1, k₂= -1. Write the solution for the position of the mass as a function of time.

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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