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sportsfan1292
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Homework Statement
Assume that the matrix A is diagonalizable : A=PDP-1, where D is the diagonal matrix of eigenvalues. Show that this factorization is not always unique
Homework Equations
The Attempt at a Solution
I have a couple of theories. The first being that since the matrix D can be reordered in any way as long as the eigenvalues are on the diagonal.
The second is that A=P-1CP when C is the non diagonalized matrix.