Purchase Solution

Eigenvalues, multiplicites, and eigenspace

Not what you're looking for?

Ask Custom Question

Please see the attached problem.
Thank-you

Suppose that A = SΛS-1 where S =
and Λ =

Find the eigenvalues of A. For each, give the algebraic multiplicity, geometric multiplicity, and describe the eigenspace.

Attachments
Purchase this Solution
Solution Summary

This provides an example of finding eigenvalues, multiplicities, and eigenspace.

Purchase this Solution
Free BrainMass Quizzes
Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Probability Quiz

Some questions on probability

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

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.

View More Free Quizzes
Related BrainMass Solutions

  • Eigenvalues and Dimension of Corresponding Eigenspace (4 Problems)

    50760 Eigenvalues and Dimension of Corresponding Eigenspace Determine the eigenvalues and eigenvectors of each of the following matrices. For each eigenvalue, determine the dimension of the corresponding eigenspace.

  • eigenvalue and eigenvector of matrix

    One choice for and is and . Therefore, the eigenspace The two eigenvectors are conjugate since the eigenvalues are conjugate. Thus, For eigenvalue , the eigenspace Matrix A is actually a ration-dilation matrix of the eigenvectors.

  • Matrix theory

    This shows how to find eigenspace and a set of vectors to span the eigenspace for eigenvalues of a matrix.

  • Matrices Eigenvalues, eigenspace, and eigenbasis.

    446911 Matrices Eigenvalues, eigenspace, and eigenbasis. Matrices Eigenvalues, eigenspace, and eigenbasis. See attached file. For each of the matrices, find all (real) eigenvalues.

  • Finding eigen values and eigen space

    Removing the restriction that the scalar multiple be nonzero includes the zero vector and gives the full eigenspace: Basis for this eigenspace is .

  • Eigenvalues of Matrix

    300067 Eigenvalues of Matrix Find all eigenvalues of a matrix (see attached document). - For each eigenvalue find a basis of the corresponding eigenspace. - Decide if A is diagonalizable or not.

  • 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.

  • Diagonalizable

    (c)first matrix has eigenvalues a_1=1, a_2=4 so c_1=1-4=-3,c_2=4-1=3 and P_1(t)=(t-1)/(-3) P_2(t)=(t-4)/3 second matrix has eigenvalues 1 and 3 so P_1(t)=(t-1)/(-2) and P_2(t)=(t-3)/2 This is a proof regarding a diagonalizable matrix and orthogonal projections

  • Matrices, Eigenvectors, Eigenvalues and Inverses

    100326 Matrices, Eigenvectors, Eigenvalues and Inverses Determining the equation for a matrix and confirming the inverse, eigenvalues Details: I have think the answer to question (a) is theta^2 [(1-p)I + pJ].

View More Related Solutions