The conversation between human and AI assistant.
How do you multiply 2x2 matrices?
Yes, I am. Can you walk me through an example?
Of course! Let's say we have two matrices, A and B:
A = [[a1, a2], [a3, a4]]
B = [[b1, b2], [b3, b4]]
To multiply them, we would follow this process: 
1. Multiply the top-left elements of both matrices and add the products: (a1 * b1) + (a2 * b3) 
2. Multiply the top-right elements of both matrices and add the products: (a1 * b2) + (a2 * b4) 
3. Multiply the bottom-left elements of both matrices and add the products: (a3 * b1) + (a4 * b3) 
4. Multiply the bottom-right elements of both matrices and add the products: (a3 * b2) + (a4 * b4) 

And we would end up with this resulting matrix:
[[ (a1 * b1) + (a2 * b3),  (a1 * b2) + (a2 * b4) ],
 [ (a3 * b1) + (a4 * b3),  (a3 * b2) + (a4 * b4) ]]