Finding the Basis of a Vector Space

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question 1 of 3

When finding the basis of a vector space, it's vital that you know how to put a matrix in reduced row echelon form. Which of the following is NOT a requirement for a matrix in reduced row echelon form?

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1. For a set of vectors to be considered a vector space, what must be true about them?

2. For a subset of vectors within a vector space to be considered a basis, they must be linearly independent and span the vector space. What does it mean for the vectors in a basis to span the vector space?

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