Explore BrainMass

Explore BrainMass

    Eigenvalues and Dimension of Corresponding Eigenspace (4 Problems)

    Not what you're looking for? Search our solutions OR ask your own Custom question.

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

    Determine the eigenvalues and eigenvectors of each of the following matrices. For each eigenvalue, determine the dimension of the corresponding eigenspace.

    Please see the attached file for the fully formatted problems.

    © BrainMass Inc. brainmass.com October 4, 2022, 11:56 am ad1c9bdddf
    https://brainmass.com/math/linear-algebra/eigenvalues-dimension-corresponding-eigenspace-50760

    Attachments

    Solution Preview

    Please see the attached file for the complete solution.
    Thanks for using BrainMass.

    Determine the eigenvalues and eigenvectors of each of the following matrices. For each eigenvalue, determine the dimension of the corresponding eigenspace.

    (a)

    1 0
    0 1

    (b)

    1 1
    0 1

    (c)

    1 0
    1 1

    (d)

    1 1
    2 1

    Solution.

    a) For matrix

    Its characteristic equation is
    =0
    So, we get two equal roots 1

    In order to ...

    Solution Summary

    Eigenvalues and the Dimension of Corresponding Eigenspace are investigated. The solution is detailed and well presented.

    $2.49

    ADVERTISEMENT