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, (-5[1])according to Sylvester’s inequality of this (-5[1])quantity. (-5[2])The CUR approximation is a more interpretable way to reduce this quantity compared (15[1]-5[1])to using the Eckart-Young theorem, which finds (15[2])approximations where this quantity is small by truncating (-5[1])the (*) SVD. (10[1])This quantity always equals 1 for nonzero outer products, and in general, (10[1])it equals (10[1])the number of nonzero (-5[1])singular values. (10[4])The number of columns (10[1])of a matrix (10[1])equals the dimension of the kernel (10[1])plus this quantity, (10[2])according (10[1])to (10[1])the this (10[1])quantity—nullity (10[2])theorem. (10[1])For 10 points, (10[1])name this quantity that equals the number of linearly independent rows or columns of a matrix. ■END■ (10[4])