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\leftline{Mathematics 244 -- Linear Algebra}
\leftline{Definitions Quiz 1 -- January 26, 2007}
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\leftline{Your Name: $\underline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }$}
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A) (5) What is the definition of the {\it span} of a set of vectors in ${\bf R}^n$?
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B) (5) The matrix $A$ below can be into {\it reduced row echelon form (rref)} using
exactly two row operations.  What are they and what is the rref?
$$\pmatrix{2 & -1 & 0 & 4  & 0 & -3\cr
           0 &  0 & 0 & 0  & 1 & 5\cr 
           0 &  0 & 1 & -2 & 0 &  7\cr}$$
\bye
