- #1
sassie
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Homework Statement
Prove that for all complex two by two matrices, they will be upper triangular matrices (edit: i think what is meant by upper triangular matrices is that PAP^-1 will be upper triangular matrices - the wording of the question i was given was a little misleading it seems)
Homework Equations
A=PDP^-1
The Attempt at a Solution
The way I tried to do it was to show that A will have n distinct eigenval, whereby I let
A=[a b
c d]
i found the eigenvals for that. then and for the case a=d, tried to show that the eigenvec are not linearly independent. However, this is the correct way to do it? or is there a much easier solution to this question?
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