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Omni-MATH / Let n be a fixed positive integer. Determine the smallest possible rank of an n×n matrix that has zeros along the main diagonal and strictly positive real numbers off the main diag…

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problem

Let nn be a fixed positive integer. Determine the smallest possible rank of an n×nn \times n matrix that has zeros along the main diagonal and strictly positive real numbers off the main diagonal.
Plain-text mathematical notation (without MathML)
Let n be a fixed positive integer. Determine the smallest possible rank of an n×n matrix that has zeros along the main diagonal and strictly positive real numbers off the main diagonal.
Original LaTeX notation
Let $n$ be a fixed positive integer. Determine the smallest possible rank of an $n \times n$ matrix that has zeros along the main diagonal and strictly positive real numbers off the main diagonal.

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Source and history

task_id
a08ab3f4-6cd7-5814-9e2d-01c4b2fde9da
task_key
test--a08ab3f4-6cd7-5814-9e2d-01c4b2fde9da
task_revision_id
1
config / split
/ test

Official source

initial import