Where I could find a nice proof of following theorem:

A is matrix n x n over field F , similar toupper triangular matrixif and only if her characteristic polynomial can be factored into an expression with the form:

(x-t_1)(x-t_2)...(x-t_n)

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- April 6th 2010, 04:18 AMAlso sprach ZarathustraMatrices & char. polynomials.
Where I could find a nice proof of following theorem:

A is matrix n x n over field F , similar to**upper triangular matrix**if and only if her characteristic polynomial can be factored into an expression with the form:

(x-t_1)(x-t_2)...(x-t_n) - May 14th 2010, 10:51 PMdwsmith