Find sin(A), A^5, and expm(A) using (1) Cayley-Hamilton theorem and (2) Jordan decomposition given the following matrices: A = [-3 1; 0 -2] A = [2 3; 0 2] Solve by hand, but you can verify it using software afterwards. Optional: plot the phase plane of the above systems xdot=A*x using any software.

Find sin(A), A^5, and expm(A) using (1) Cayley-Hamilton theorem and (2) Jordan decomposition given the following matrices: A = [-3 1; 0 -2] A = [2 3; 0 2] Solve by hand, but you can verify it using software afterwards. Optional: plot the phase plane of the above systems xdot=A*x using any software.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.2: Linear Independence, Basis, And Dimension

Problem 3AEXP

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Question

Find sin(A), A^5, and expm(A) using (1) Cayley-Hamilton theorem and (2) Jordan decomposition
given the following matrices:

A = [-3 1;
0 -2]
A = [2 3;
0 2]

Solve by hand, but you can verify it using software afterwards.

Optional: plot the phase plane of the above systems xdot=A*x using any software.

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