How do I find the inverse of a 2x2 matrix?

Hiya! So the very first thing we need to do is find the determinant, which is just a fancy word to describe a matrix; for a 2x2 matrix, it's equal to "ad-bc", where: (a b c d) This will give you a value! We then take the inverse by doing this: 1/det Then, we swap the value for a and the value for d in the original matrix, and we put a minus in front of the value for b and the value for c. Finally, we multiply this new matrix by 1/det to get our inverse!

It's also really important to check it. We do this by multiplying the inverse by the original matrix to get the identity matrix, which we'll come on to later.