MathDB
IMC 2005 day 1 pb 1

Source: peter

July 26, 2005
linear algebramatrixIMCcollege contests

Problem Statement

Let AA be a n×nn\times n matrix such that Aij=i+jA_{ij} = i+j. Find the rank of AA. [hide="Remark"]Not asked in the contest: AA is diagonalisable since real symetric matrix it is not difficult to find its eigenvalues.
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