What is the following question asking?(adsbygoogle = window.adsbygoogle || []).push({});

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?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Help understanding question

**Physics Forums | Science Articles, Homework Help, Discussion**