2. Solve the following system of equations dx dt dy dt = = -4x - 2y 5x + 2y (a.) Find the equilibrium point. (b.) Write the system in matrix form X' = AX. (c) Using the matrix A in part (b.), find the eigenvalues and eigenvectors. Discuss the type of equilibrium point. (d) Find the matrix T that puts A in canonical form

2. Solve the following system of equations dx dt dy dt = = -4x - 2y 5x + 2y (a.) Find the equilibrium point. (b.) Write the system in matrix form X' = AX. (c) Using the matrix A in part (b.), find the eigenvalues and eigenvectors. Discuss the type of equilibrium point. (d) Find the matrix T that puts A in canonical form

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.7: The Inverse Of A Matrix

Problem 30E

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