# Multiplying a determinant by a constant? book says

1. Oct 16, 2005

### mr_coffee

I'm confused, this question had 5 parts and i got the other 4 but this one I keep missing...
If A is a 2x2 matrix....
Det(A) = -5;
The Det(-3A);
The book said, if u multiply a column by a constant k then the determinant is also multiplied by k. So wouldn't the answer just be (-5)(-3) = 15?
Det(-3A) = 15? it says its wrong htough...

2. Oct 16, 2005

### robphy

Evaluate $$\left|\begin{array}{cc} ka& kb \\ kc&kd\end{array}\right|$$... and compare it to $$\left|\begin{array}{cc} a& b \\ c&d\end{array}\right|$$. Next try the 3x3 case.

Last edited: Oct 16, 2005