Sum of the values in the main diagonal

[math_Lover]

Let [MATH](_{ij})[/MATH] be a square [MATH]2021×2021[/MATH] matrix whose entries are numbers [MATH]1,2,3, … ,2020,2021[/MATH]. In each row and each column of the matrix, each of these numbers occurs exactly once. You are given that [MATH]_{ij} = _{ji}[/MATH]. Find the sum of matrix diagonal entries.

 

[math_Lover]

Apologies, [MATH](_{ij})[/MATH] should be [MATH](?_{ij})[/MATH]

 

[Deleted member 4993]

Let [MATH](_{ij})[/MATH] be a square [MATH]2021×2021[/MATH] matrix whose entries are numbers [MATH]1,2,3, … ,2020,2021[/MATH]. In each row and each column of the matrix, each of these numbers occurs exactly once. You are given that [MATH]_{ij} = _{ji}[/MATH]. Find the sum of matrix diagonal entries.

Please write first 5 terms of the Matrix diagonal entries.