Home > Higher Algebra, Problem Solving > Traian Lalescu student contest 2011 Problem 1

Traian Lalescu student contest 2011 Problem 1


Suppose A \in \mathcal{M}(\Bbb{C}). Prove that the sequence (a_k)_{k \geq 0} is nondecreasing, where a_k=rank(A^{k+1})-rank(A^k).

Traian Lalescu contest 2011 Problem 1

Try Frobenius’ Inequality.

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