Purchase Solution

Characteristic polynomial and eigenvalues

Not what you're looking for?

Ask Custom Question

Please see the attached document regarding homework specifics.
Thank-you for your help.

Let A =

(a) Find the characteristic polynomial of "A", by hand, showing your work.
(b) Find the eigenvalues of "A"; for each, find the algebraic multiplicity.

Attachments
Purchase this Solution
Solution Summary

This provides an example of finding a characteristic polynomial of a matrix and the eigenvalues.

Solution Preview

Hello

Please find the solution in the attached file. ...

Purchase this Solution
Free BrainMass Quizzes
Probability Quiz

Some questions on probability

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Solving quadratic inequalities

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

Exponential Expressions

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

Multiplying Complex Numbers

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

View More Free Quizzes
Related BrainMass Solutions

  • Solving for Eigenvalues

    What are the other 2 eigenvalues of A and what is the characteristic polynomial of A, At, and A-1? Solution. Assume that is the characteristic polynomial of A.

  • Symplectic Matrix, Determinant, Characteristic Polynomial and Eigenvalues

    Symplectic Matrix, Determinant, Characteristic Polynomial and Eigenvalues are investigated. The solution is detailed and well presented.

  • Eigenvectors and eigenvalues

    This shows how to compute the characteristic polynomial and all eigenvalues and all eigenvectors, and show that given values are the eigenvalues of an inverse transformation matrix.

  • Marices

    See attachment This provides an example of finding characteristic polynomial, eigenvalues, basis for eigenspaces, and algebraic multiplicity.

  • Finding eigenvalues of a matrix

    Finally, we are ready to solve the characteristic equation, det(LI-U) = 0. So, (L-5)(L+2) = 0. And, therefore, the eigenvalues are L=5 and L=-2.

  • Rotation matrices

    the eigenvalues set is: Solving Explicitly: The characteristic polynomial is: The eigenvalues are the solution of the solution of the polynomial: The solution discusses some of the properties of general rotation matrices and show they

  • Characteristic polynomials

    The characteristic polynomial of A, and the eigenvalues of A, and a basis for each eigenspace of A, the algebraic and geometric multiplicity of each eigenvalue are determined.

  • Matrices

    You may use a calculator to replace hand calculation for row reduction and finding the characteristic polynomial. Show your work; don't just write down the answers. (a) Find the characteristic polynomial of "A".

  • Linear algebra and matrix diagonalization

    (a) Determine the characteristic polynomial for A. [2] (b) Show that lambda = 1 is an eigenvalue and find the remaining eigenvalues of A. [3] (c) Determine all the corresponding eigenvectors and eigenspaces. [6] (d) Write down a matrix P and a diagonal

View More Related Solutions