MATH 3510 Chapter Notes - Chapter 14: Linear Combination, John Wiley & Sons, Triangular Matrix
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Zero subspace, examples of subspaces, linear combination, span, solution space. , determine whether v is a linear combination of the vectors in s: given a set s of vectors in. , determine whether the vectors in s span: determine whether two nonempty sets of vectors in a vector space v span the same subspace of v. , and are integers. (d) all polynomials of the form. Answer: (a), (c), (d: a line l through the origin in can be represented by parametric equations of the form and. Answer: (a), (b), (d: express the following as linear combinations of. , and (a) (b) (6,11,6) (c) (0,0,0) (d) (7,8,9: which of the following are linear combinations of (a) (b) (c) (d) Answer: (a), (b), (c: in each part express the vector as a linear combination of. , and (a) (b) (c) 0 (d: in each part, determine whether the given vectors span (a) (b) (c) (d)
