Question

The Woodbury formula is used when performing corrections where this quantity is fixed. A determinantal variety is a space where this quantity is bounded. n plus this quantity of AB is greater than or equal to this quantity of A plus this quantity of B, according to Sylvester’s inequality of this quantity. (-5[1])The CUR approximation is a more interpretable way to reduce this quantity compared to using the Eckart-Young theorem, which finds approximations where this quantity is small by truncating (-5[1])the (*) SVD. This quantity always equals 1 for nonzero outer products, and in general, (10[1])it equals (10[1])the number of nonzero singular values. (10[1])The number of columns of a matrix equals the dimension of the kernel plus this quantity, (10[1])according to the this quantity—nullity theorem. For 10 points, name this quantity that equals the number of linearly independent rows or columns of a matrix. ■END■ (10[2])

ANSWER: rank [or row rank or column rank; accept low rank approximation; prompt on dimension]
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Summary

2024 ARGOS @ Stanford02/22/2025Y3100%33%100%113.33
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2024 ARGOS @ Chicago11/23/2024Y6100%0%33%115.33
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