MathDB

IMC 2002 Problem 7

Source: IMC 2002

March 7, 2021

linear algebramatrix

Problem Statement

Compute the determinant of the

n\times n

matrix

A=(a_{ij})_{ij}

a_{ij}=\begin{cases} (-1)^{|i-j|} & \text{if}\, i\ne j,\\ 2 & \text{if}\, i= j. \end{cases}