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Thread: Show that λ is an eigenvalue of the B matrix iff λ is an eigenvalue of B'

  1. #1

    Show that λ is an eigenvalue of the B matrix iff λ is an eigenvalue of B'

    Show that λ is an eigenvalue of the B matrix if, and only if λ is an eigenvalue of B'

    It's supposed to be really easy to show that but I guess that it is only the case when you know how to do it :P

  2. #2
    Elite Member
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    Let's be clear. Please state what B' is. Notation isn't always uniform.

    Is [tex]|\lambda I - B|[/tex] any different from [tex]|\lambda I - B'|[/tex]
    "Unique Answers Don't Care How You Find Them." - Many may have said it, but I hear it most from me.

  3. #3
    Quote Originally Posted by tkhunny View Post
    Let's be clear. Please state what B' is. Notation isn't always uniform.

    Is [tex]|\lambda I - B|[/tex] any different from [tex]|\lambda I - B'|[/tex]
    Bí is the transposed matrix of B!

  4. #4
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    Fair enough. Now the answer to my determinant question...
    "Unique Answers Don't Care How You Find Them." - Many may have said it, but I hear it most from me.

  5. #5
    Quote Originally Posted by tkhunny View Post
    Fair enough. Now the answer to my determinant question...
    Oh sorry! I don't know the only thing I have is the question I wrote :/

    How would it affect the answer?

  6. #6
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    Pick any 2x2 matrix and play with it a bit.
    Expand your exploration from there.
    "Unique Answers Don't Care How You Find Them." - Many may have said it, but I hear it most from me.

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