# Math Help - Determinants

1. ## 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...

2. Originally Posted by Hellreaver
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?