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 up to k plus 1. The (*) outer product of (-5[1])two nonzero (-5[1])vectors u and v always has a value of 1 for this quantity. This quantity and the nullity sum to (10[1])the number (10[1])of columns (10[1])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 (10[1])or row space. (10[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
Rhys LewisSortedSee it70-5
Matt BoothFour Times I Have Despised My SoulOxford School for Quizness72-5
Oscar SiddleLimp ChriskitGressenheller A9210
Ethan WebbThe Crying of Team 493HK1MM9410
Albery NyangLSESay it9610
Eveline OngOxford School for QuiznessFour Times I Have Despised My Soul14410
Agnijo BanerjeeSee itSorted14810

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