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Terms in this set (6)
(a) The zero vector is a linear combination of any nonempty set of vectors.
True
(b) The span of ∅ is ∅.
False
(c) If S is a subset of a vector space V, then span(S) equals the intersection of all subspaces of V that contain S.
True
(d) In solving a system of linear equations, it is permissible to multiply an equation by any constant.
False
(e) In solving a system of linear equations, it is permissible to add any multiple of one equation to another.
True
(f) Every system of linear equations has a solution.
False
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