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## Homework Statement

I want to find the Jordan form of a matrix over the complex field such that A^2=A

## The Attempt at a Solution

So I've tried writing the entries of A as a 2x2 matrix such as {{a+bi,c+di},{e+fi,g+hi}} and multiplying it by A and then setting it equal to A. Needless to say, it seems like to me this NOT the way to approach it. Also, I've fondled around with Mathematica trying to guess the solution ,but I can not find it. Can I just use the normal identity matrix? After all, 1 is still a complex number (with a=1 and b=0).