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Math Help - Determinant

  1. #1
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    Determinant

    Suppose det A = 3, det B = -2/3, det C =
    a) find det(A2B-1C)

    b) find det(A-1B2C-1)-1

    Thankyou in advance for any assistance provided
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  2. #2
    Lord of certain Rings
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    Quote Originally Posted by speckmagoo View Post
    Suppose det A = 3, det B = -2/3, det C =
    a) find det(A2B-1C)

    b) find det(A-1B2C-1)-1

    Thankyou in advance for any assistance provided
    I take it that you mean \text{det}(A^2B^{-1}C) and \text{det}(A^{-1}B^{2}C^{-1})^{-1}....

    Have you tried using the idea that \text{det}(A^2B^{-1}C) = \text{det}(A^2)\text{det}(B^{-1})\text{det}(C)?

    Then \text{det}(A^2) = \text{det}(A)^2 and \text{det}(B^{-1})  = \text{det}(B)^{-1}...
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  3. #3
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    Reply

    Thankyou very much for your assistance Isomorphism
    Yes you are correct in your interpretation of the question. In regards to your suggestion, how would i go about in calculating det A^-1, det A^2, det B^-1, det B^2 and det C^-1
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  4. #4
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    det(AB)=det(A)det(B)
    det(A^-1)=1/det(A)
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