1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Eigenvector math homework

  1. Dec 4, 2009 #1
    1. The problem statement, all variables and given/known data

    Let A be a matrix corresponding to reflection in 2 dimensions across the line generated by a vector v . Check all true statements:

    A. lambda =1 is an eigenvalue for A
    B. Any vector w perpendicular to v is an eigenvector for A corresponding to the eigenvalue lambda =1.
    C. The vector v is an eigenvector for A corresponding to the eigenvalue lambda =1.
    D. Any vector w perpendicular to v is an eigenvector for A corresponding to the eigenvalue lambda =−1.
    E. lambda =−1 is an eigenvalue for A
    F. None of the above

    3. The attempt at a solution

    I honestly have no clue how to do this question. Can somebody explain to me what the question is asking and how to solve it?
     
  2. jcsd
  3. Dec 4, 2009 #2

    Office_Shredder

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    Re: Eigenvalues

    Do you know what the definition of an eigenvalue/eigenvector is? Think about the case where A just reflects over the x-axis first in R2 in order to get a handle on what the question is asking
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Eigenvector math homework
  1. Maths Homework (Replies: 5)

  2. Analysis math homework (Replies: 0)

Loading...