Unformatted text preview: e solution set of the linear system whose augmented matrix is a1 a2 a3 b is the same as the solution set of the equation x 1a1 x 2 a2 x 3a3 b .
____d. When u and v are nonzero vectors, Span {u, v} contains only the line through u and the
origin, and the line through v and the origin.
____e. A vector b is a linear combination of the columns of a matrix A if and only if the equation
Ax = b has at least one solution.
____f. Any linear combination of vectors can always be written in the form Ax for a suitable
matrix A and vector x.
____g. The equation x = p + tv describes a line through v parallel to p.
____h. The columns of a matrix A are linearly independent if the equation Ax = 0 has the trivial
solution. 2 . F ind...
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 Spring '08
 PAVLOVIC
 Linear Algebra, Gaussian Elimination, Matrices, Vector Space

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