# find eigenvalues

Not what you're looking for?

See the attached file, please.

Given the following matrices A, B, and C compute the eigenvalue and eigenvector for each matrix.

A =(-2, 6, 6, 3)

B= (4, 2, -1, 6)

C= (0, -1, 1, 2)

##### Purchase this Solution

##### Solution Summary

This solution carefully finds eigenvalues. Matrices are computed for A, B and C.

##### Solution Preview

Hello and thank you for posting your question to Brainmass!

The solution is attached below in two files. the files are identical in content, only differ in format. The first is in MS Word format, while the other is in Adobe pdf format. Therefore you can choose the format that is most suitable to you.

To find eigenvalues:

Calculate the characteristic polynomial

(1.1)

Find the roots of the equation

(1.2)

These are the eigenvalues

To find the eigenvectors, for each eigenvalue solve the system of equations

(1.3)

Note that for any constant and eigenvector v, the vector is an eigenvector as well with the same eigenvalue:

Case 1:

Then:

(1.4)

Equating it to zero we find two roots:

(1.5)

To find the eigenvectors we ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

##### Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

##### Probability Quiz

Some questions on probability

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

##### Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.