If det(A) = 7, what is det(4A⁻¹) for a 3×3 matrix?

[Vagrant]

[SOLVED] Determinant problem

Homework Statement

If det(A) = 7, then what is det(4 A-1)?
where A is 3*3 matrix

Homework Equations

The Attempt at a Solution

No idea about this, please give me some hint.

 

[ZioX]

This is just collecting properties about determinants. If you scale one of your rows (or columns) by some scalar what is the determinant of the resulting matrix? Now, realize that 4A is multiplying every row by 4. Assuming A has an inverse, what is the determinant of the inverse?