Let K be a field and A Mat n K. (a) If A is nilpotent (that
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Let K be a field and A ϵ MatnK.
(a) If A is nilpotent (that is, Am = 0 for some m), then Tr Ar = 0 for all r ≥ 1.
(b) If char K = 0 and Tr Ar = 0 for all r ≥ 1, the~ A is nilpotent.
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a If A is nilpotent that is Am 0 for some m then Tr Ar 0 for all r 1 In this part youre asked to show that if a square matrix A is nilpotent meaning t...View the full answer
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Related Book For
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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