Hello everyone, i posted 2 pictures, they are the same problem, just couldn't fit it. http://img222.imageshack.us/img222/1227/lastscan5vx.jpg http://img222.imageshack.us/img222/1681/lastscan29fm.jpg I don't understand the majority of the steps, like hwy does he multiply 2*[1 2] - [2 1] = 3j? also he then says j = 2/3[ 1 2] - 1/3[2 1] ? this one really doesn't make sense: i = [1 2] - 2(2/3*[1 2] - 1/3[2 1]) The examples in the book are easy and i understand then, they always had either i given to u or j given to you. like T[ 1 0] = [2 -3] but this one doesn't give u anything so i know u have to manipulate the matrices to get the standard, i = [1 0] j = [0 1] but i'm confused on his logic behind it, can someone explain to me why he did what he did'? thanks!