Hello everyone I got the answer, but i'm confused on how he wrote out the vectors, like i'm confused on what variables ur allowed to let be any number, and what variables ur actually representing in the vectors. Here is the problem and solution: http://img233.imageshack.us/img233/5900/lastscan7cs.jpg [Broken] i'm confused on how he got 1 0 0 0 1 0 0 0 0 0 0 0 like what numbers did he let be 0, and what numbers did he assign the value too? to form the columns? thanks! maybe if u could write it out more, i would understand better!