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PutnamSuperchallengeIntegrals I: Feynman's Trick

Integrals I: Feynman's Trick · Superchallenge problem

Compute the determinant of the 4×44\times4 circulant matrix whose first row is (7,6,3,3)(7, 6, 3, 3) and whose each later row is the previous one shifted right by one.