Explore BrainMass
Share

Find all the eigenvalues

This content was STOLEN from BrainMass.com - View the original, and get the already-completed solution here!

Please see attachment for full problem description and hint.

The solution of the vector-valued differential equation

dX/dt = AX(t) with X(0) = [a1
a2
a3]

is given by:

X(t) = Exp(tA)X(0) = e^tA(X(0))

Explain how you would compute e^tA, and then find the general solution when:

A = [ 0 1 0
0 0 1
-1 1 1]

© BrainMass Inc. brainmass.com October 25, 2018, 4:50 am ad1c9bdddf
https://brainmass.com/math/linear-algebra/find-all-eigenvalues-matrix-395922

Attachments

Solution Summary

This solution calculates the characteristic of the matrix and finds all its eigenvalues.

$2.19
See Also This Related BrainMass Solution

Finding Eigenvalues / Eigenfunctions for Integral Operators

Please see the attached file for the fully formatted problems.

Find the eigenvalues and eigenfunctions for the integral operator

, where
.

(Answer: )

How would we solve the same problem if ?

(Answer: )

View Full Posting Details