# How to perform matrix multiplication in Mixing Columns step of AES?

I am studying AES and trying to implement it. But I am having difficulty understanding the Mixing Column step. In that step we have to perform matrix multiplication between the state matrix and another fixed matrix. Here is the example given in the material I am studying from:

I am not getting the 03*2F part. How did it turn into (02*2F)xor2F? Is the material correct or does it have some mistake?

Edit: I got that 3 = 2 xor 1 hence 3 x 2F = (2 xor 1) x 2F = (2 x 2F) xor 2F but what in case if 4 x 2F? 4 = 2 xor 6 so (2 xor 6) x 2F then what?