Ivan Shishkin, Rye (1878)

Problems/Linear algebraUnreviewed

Un commutateur de rang 1

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50
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This score reflects both the level of the required concepts and the difficulty of the solution.Ce score tient compte à la fois du niveau des notions nécessaires et de la difficulté de la résolution.

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Soient AA et BB deux matrices complexes carrées de même taille telles que
rg⁡(AB−BA)=1\operatorname{rg}(A B-B A)=1Montrer que (AB−BA)2=0(A B-B A)^2=0.

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