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Math Help - Matrices to a power

  1. #1
    Member akhayoon's Avatar
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    Matrices to a power

    I'm unsure how to do this question...
    Attached Thumbnails Attached Thumbnails Matrices to a power-untitled2.jpg  
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  2. #2
    Senior Member JaneBennet's Avatar
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    Have you worked out A^2? This is normally the first thing you would try in any problem such as this. For this one, if you calculate A^2, youíll find itís quite a nice, helpful matrix.
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  3. #3
    Member akhayoon's Avatar
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    so it's equal to the same thing?
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  4. #4
    GAMMA Mathematics
    colby2152's Avatar
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    Quote Originally Posted by akhayoon View Post
    so it's equal to the same thing?
    A^2=I, the identity matrix, so A^{74}=I as well because that will be the identity matrix multiplied by itself 37 times. A^{75} = A^{74}A = A. Yes, it is equal to itself.
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