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Linear algebra: Similar matrices?
Let A be a complex square upper triangular matrix of rank r. Moreover, the elements of the main diameter are only 0 or 1. Can we always find an upper triangular matrix, similar to A such that the first r elements of the main diameter are 1 and the others are zero? If not, please give a counterexample.
Thank you.
1 AnswerMathematics1 decade ago