Hey, Just stumbled into some linear algebra questions in my textbook...that I can't quite seem to work out... Prove or disprove the following statements concerning 2 x 2 matrices: 1) If A^2 - 3A- 2I = 0 then (A-1) and (A-2I) are both invertible. (so I got the determinant to be 0, which would mean that they are not, thus making it FALSE..is this right?) 2) If A = EB and E is elementary then B = FA for some elementary F. ...I wasn't too sure about this one... Thank you...Neon Vomitt was the one who sparked my interest...so THANK YOU to you!