Linear algebra - Diagonalization

Mister_F
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does someone know how to solve the following?

Homework Statement




"Find all matrices A so
I A
0 I
is Diagonalizable "

this is a picture of the matrice
http://i46.tinypic.com/258v514.jpg

How can I find A?
 
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What have you done so far? Please show your work so that we may know where you got stuck. If you are asking us to do the problem for you, then I'm afraid that is not allowed in this forum.
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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