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