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4 Span and subspace - Auburn University
web.auburn.eduthat x2 is not a multiple of x1 so the row echelon form of the corresponding augmented matrix will have a pivot in each row and hence no pivot in the augmented column.) On the other hand, if x1 and x2 are parallel and nonzero, then both vectors lie on the same line through the origin and Span{x1,x2} is this line. (In this