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Omni-MATH / Let A be a n×n matrix such that A_(ij)=i+j. Find the rank of A.

Problem

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problem

Let AA be a n×nn\times n matrix such that Aij=i+jA_{ij} = i+j. Find the rank of AA. [hide="Remark"]Not asked in the contest: AA is diagonalisable since real symetric matrix it is not difficult to find its eigenvalues.[/hide]
Plain-text mathematical notation (without MathML)
Let A be a n×n matrix such that A_(ij)=i+j. Find the rank of A.

[hide="Remark"]Not asked in the contest: A is diagonalisable since real symetric matrix it is not difficult to find its eigenvalues.[/hide]
Original LaTeX notation
Let $A$ be a $n\times n$ matrix such that $A_{ij} = i+j$. Find the rank of $A$.

[hide="Remark"]Not asked in the contest: $A$ is diagonalisable since real symetric matrix it is not difficult to find its eigenvalues.[/hide]

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Source and history

task_id
1c5902c2-a6f9-5f85-a5fa-cba0dc1fc3f5
task_key
test--1c5902c2-a6f9-5f85-a5fa-cba0dc1fc3f5
task_revision_id
1
config / split
/ test

Official source

initial import