Question

A proxy for this value, called its “stable” variant, equals the square of the Frobenius norm divided by the square of the spectral norm. The reduction of this quantity is most efficiently performed by truncating a singular value decomposition according to the Eckart-Young theorem. If an object has a value of k for this quantity, then its minimal polynomial may have degree (-5[1])up to k plus 1. The (*) outer product of two nonzero vectors u and v always has (10[1])a value of 1 for this quantity. This quantity (10[1])and the nullity sum to the number of columns in a matrix. An n-by-n matrix has a value of n for this quantity if and only if it is invertible. The “row” and “column” varieties of this quantity are equal for any matrix. For 10 points, name this quantity which is the dimension of a matrix’s column or row space. (0[1])■END■

ANSWER: rank [accept row rank or column rank; accept rank-nullity theorem; accept low-rank approximation; accept stable rank; do not accept or prompt on “dimension”]
<Alex Li, Other Science>
= Average correct buzz position

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Buzzes

PlayerTeamOpponentBuzz PositionValue
Cade ReinbergerRIT AUNC B61-5
Rasheeq AzadUNC CDuke A7810
Vincent DuUNC AVirginia Tech A8710
Jim FanUNC BRIT A1480

Summary

2024 Penn Bowl Florida10/26/2024Y2100%50%0%75.50
2024 Penn Bowl Harvard10/26/2024Y4100%25%25%78.75
2024 Penn Bowl UK10/26/2024Y5100%0%40%114.80
2024 Penn Bowl UNC10/26/2024Y367%0%33%82.50