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Matrix Representations of Linear Transformations and ...

where at least one a i6= 0, then that linear combination is called a nontrivial representation of 0. Using linear combinations we can generate subspaces, as follows. If Sis a nonempty subset of Rn, then the span of Sis given by span(S) := fv 2Rnjv is a linear combination of vectors in Sg (0.2) The span of the empty set, ?, is by de nition

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