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Omni-MATH / Let A be a 2n×2n matrix, with entries chosen independently at random. Every entry is chosen to be 0 or 1, each with probability 1/2. Find the expected value of det(A−A^(t)) (as a f…

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problem

Let AA be a 2n×2n2n \times 2n matrix, with entries chosen independently at random. Every entry is chosen to be 0 or 1, each with probability 1/21/2. Find the expected value of det(A−At)\det(A-A^t) (as a function of nn), where AtA^t is the transpose of AA.
Plain-text mathematical notation (without MathML)
Let A be a 2n×2n matrix, with entries chosen independently at random. Every entry is chosen to be 0 or 1, each with probability 1/2. Find the expected value of det(A−A^(t)) (as a function of n), where A^(t) is the transpose of A.
Original LaTeX notation
Let $A$ be a $2n \times 2n$ matrix, with entries chosen independently at random. Every entry is chosen to be 0 or 1, each with probability $1/2$. Find the expected value of $\det(A-A^t)$ (as a function of $n$), where $A^t$ is the transpose of $A$.

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Source and history

task_id
3e8e2b7d-c4c8-5f7d-825a-40cfd4fb3eae
task_key
test--3e8e2b7d-c4c8-5f7d-825a-40cfd4fb3eae
task_revision_id
1
config / split
/ test

Official source

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