text: A maximum bound for the number of elements in a set that has this property is given by the “replacement theorem.
full_question: A maximum bound for the number of elements in a set that has this property is given by the “replacement theorem.” The elements of a matroid possess a generalized version of this property. Necessarily, the set of objects that are inputted and outputted in the Gram-Schmidt process have this property. A basis is a spanning set whose elements have this property. A set of vectors that includes the zero vector cannot have, for 10 points, what property of a vector set in which no one vector can be written as a linear combination of the others?
first_sentence: A maximum bound for the number of elements in a set that has this property is given by the “replacement theorem.