MathDB

CIIM 2012 Problem 1

Source:

June 13, 2016

CIIM 2012CIIMundergraduatelinear algebramatrix

Problem Statement

For each positive integer

n

let

A_n

be the

n \times n

matrix such that its

a_{ij}

entry is equal to

{i+j-2 \choose j-1}

for all

1\leq i,j \leq n.

Find the determinant of

A_n

.

Back to Problems View on AoPS