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Mathematics, 06.05.2020 00:33 keegan5096
If Bold v 1 comma ... comma Bold v Subscript pv1,...,vp are in a vector space V, then Span StartSet Bold v 1 comma ... comma Bold v Subscript p EndSetSpanv1,...,vp is a subspace of V. B. The column space of an mtimesĂn matrix A is a subspace of set of real numbers R Superscript mâm. C. The null space of an mtimesĂn matrix is a subspace of set of real numbers R Superscript nân. Equivalently, the set of all solutions to a system Axequals=0 of m homogeneous linear equations in n unknowns is a subspace of set of real numbers R Superscript nân. D. An indexed set StartSet Bold v 1 comma ... comma Bold v Subscript p EndSetv1,...,vp of two or more vectors in a vector space V, with Bold v 1v1not equalsâ 0 is a subspace of V if and only if some Bold v Subscript jvj is in Span StartSet Bold v 1 comma ... comma Bold v Subscript j minus 1 Baseline comma Bold v Subscript j EndSetSpanv1,...,vjâ1,vj.
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If Bold v 1 comma ... comma Bold v Subscript pv1,...,vp are in a vector space V, then Span StartSet...
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