olymmath

Putnam 2014 A2

  • Session A

Let AA be the n×nn \times n matrix whose entry in the ii-th row and jj-th column is 1min⁡(i,j)\frac{1}{\min(i,j)} for 1≤i,j≤n1 \leq i,j \leq n. Compute det⁡(A)\det(A).

Curated text Kedlaya Putnam archive. Quoted with source.

Solutions

Human solution Solution 1 by Kiran Kedlaya and Lenny Ng

The terms of the source let olymmath link to this solution but not copy it. Read the solution (Kedlaya Putnam archive).

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