# Blagoevgrad, July 22 - July 28, 2005 pdf

 Day1_solutions.pdf - Blagoevgrad, July 22 - July 28, 2005 First Day Problem 1. Let A be the n ×n matrix, whose (i,j)th entry is i+j for all i,j = 1,2,...,n. What is the rank of A? Solution 1. For n = 1 the rank is 1. Now assume n ≥ 2. Since A = (i)n i,j=1 +(j) n i,j=1, mat
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