The linear combination of a set of vectors is defined. Determine if a vector in R^2 is in the span of two other vectors. The span of a set of vectors is related to the columns of a matrix. (need topic: Determine if a vector in R^2 is in the span of two other vectors.)

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##### Definition of linear combination of vectors, coordinate vector space math.la.d.vec.lincomb.coord

##### A linear system is equivalent to a vector equation. math.la.t.linsys.vec

##### The matrix equation Ax=b has a solution if and only if b is a linear combination of the columns of A. math.la.t.mat.eqn.lincomb