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Math Help - Changes to Determinants

  1. #1
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    Changes to Determinants

    I need to find the determinant given that A is a 4X4 matrix for which det(A)= -2.

    Where det(2A^T)

    I would guess I need to find the transpose of the matrix A's determinant, which is the same as det(A), and then multiply the resultant by 2, but I don't think that is right... What needs to be done here?

    Note: using various examples, I found that the determinant of A after the Matrix A has been multiplied by 2 results in the determinant being multiplied by 16, which makes sense because, being 4X4, would make it 2^4... Would -32 be the correct answer for this question?
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  2. #2
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    Quote Originally Posted by Hellreaver View Post
    I need to find the determinant given that A is a 4X4 matrix for which det(A)= -2.

    Where det(2A^T)
    \det (2A^T) = 2^4 \det (A^T) = 2^4 \det (A) = -2^5
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  3. #3
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    Quote Originally Posted by ThePerfectHacker View Post
    \det (2A^T) = 2^4 \det (A^T) = 2^4 \det (A) = -2^5
    Its 2^4 because the matrix is 4X4, I'm assuming?
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  4. #4
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    Quote Originally Posted by Hellreaver View Post
    Its 2^4 because the matrix is 4X4, I'm assuming?
    Yes . Exactly!
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  5. #5
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    About time I didn't fail at something miserably. Thanks again...
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