et A be a 157 x 157 upper-triangular matrix. Suppose that every diagonal entry of A...

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et A be a 157 x 157 upper-triangular matrix. Suppose that everydiagonal entry of A is 1 and that there is at least one nonzerooff-diagonal entry in A. Is A diagonalizable? Explain how you cananswer this question mentally, with no non-trivialcalculations.

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