What is the following question asking? Question: Prove that the determinant of the product of two general 2x2 matrces is the product of their determinants. What I think is that I should come up with two 2x2 matrices. 1 2 2 3 12 15 3 4 and 5 6 multiply them together and get 26 33 The determinant of the product matrix is six. The determinat of the first matrix is -2 and the second one is -3. Multiply -2 times -3 and that is 6. So I proved that the determinant of the product of the two matrices is the product of their determinants. Is this right?