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Putnam 2014 A2

Source:

December 7, 2014

Putnamlinear algebramatrixinductioncollege contestsPutnam 2014Putnam matrices

Problem Statement

Let

A

be the

n\times n

matrix whose entry in the

i

-th row and

j

-th column is

\frac1{\min(i,j)}

for

1\le i,j\le n.

Compute

\det(A).