If A is a 3x3 matrix and det(A) = 4, what is det(2A)?

If A is a 3x3 matrix and det(A) = 4, what is det(2A)?

Approach: det(cA) = c^n * det(A).

32. 2^3 * 4 = 32.

Follow-up: What is det(A^-1)?

Key concepts: determinant properties.