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

1. ## 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?

2. You're kidding, right?!

Did you try even one example?

Try a 2x2 matrix and see for yourself. It's called "exploration".

3. Originally Posted by superdude
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