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Math Help - determinant problem

  1. #1
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    sweden
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    determinant problem

    Greetings!


    I have a 2 x 2 matrix


    3 1
    2 0


    I will calculate det(A3).


    Formula is a11a22-a12a21.


    So, 3*0 - 1*2 and that makes det = -2
    Thus, det(A3) = (-2)3 = -8


    And det(A-3) would be (-2)-3 = -0,125


    I think I have calculated correctly. ?
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  2. #2
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    Re: determinant problem

    In general,
    \det(A^n) = \det(A)^n.

    Edit: So, yes, you are correct, in both instances. Good question.

    -Andy
    Last edited by abender; January 27th 2013 at 03:51 AM.
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  3. #3
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    Re: determinant problem

    Thank you, Abender! Very nice to hear that they both are correct!
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