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Math Help - what effect does this have on the deteriminant?

  1. #1
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    what effect does this have on the deteriminant?

    If the determinant of the matrix A is 3 then what is the determinant of det(4A)?

    The answer involves something like this:
    4^2det(A)
    why does 4 get squared and come out in front?
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  2. #2
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    You're kidding, right?!

    Did you try even one example?

    Try a 2x2 matrix and see for yourself. It's called "exploration".
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  3. #3
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    Quote Originally Posted by superdude View Post
    If the determinant of the matrix A is 3 then what is the determinant of det(4A)?

    The answer involves something like this:
    4^2det(A)
    why does 4 get squared and come out in front?

    Basic properties of determinants, and it is 4^2 only if the matrix is 2 x 2; in general, if the determinant is n x n, \det (kA)=k^n\det A\,,\,\,k a scalar.

    Tonio
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