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Math Help - Determinants

  1. #1
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    Determinants

    I have a 3X3 matrix A with a determinant 2.
    Find
    det (2A)

    The answer is supposedly 16, but I don't understand why this is...

    I'm assuming it is because the determinant is multiplied by 2 three times because the matrix is a 3X3...
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  2. #2
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    Quote Originally Posted by Hellreaver View Post
    I have a 3X3 matrix A with a determinant 2.
    Find
    det (2A)

    The answer is supposedly 16, but I don't understand why this is...

    I'm assuming it is because the determinant is multiplied by 2 three times because the matrix is a 3X3...
    Consider:

    1. What happens to the determinant of a matrix when you multiply a row by a constant ...?

    2. What happens to the rows of a matrix when you multiply the matrix by a constant ....?

    Do you see now?
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