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## Homework Statement

Write the eigenvector of [itex]\sigma[/itex]x with +1 eigenvalue as a linear combination of the eigenvectors of M.

## Homework Equations

[itex]\sigma[/itex]x = (0,1),(1,0) (these are the columns)

## 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)?