Recent content by Heeyeyey

Finally solved it using the Frobenius Inequality for the rank of a matrix. Thank you anyway!

Let A be a n x n matrix with complex elements. Prove that the a(k) array, with k ∈ ℕ, where a(k) = rank(A^(k + 1)) - rank(A^k), is monotonically increasing. Thank you! :)