1. The problem statement, all variables and given/known data Write the eigenvector of [itex]\sigma[/itex]x with +1 eigenvalue as a linear combination of the eigenvectors of M. 2. Relevant equations [itex]\sigma[/itex]x = (0,1),(1,0) (these are the columns) 3. The attempt at a solution .... Don't know what to do. Can someone show me how to do this using arbitrary eigenvectors, say (a,b) and (c,d)?