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\leftline{Mathematics 244 -- Linear Algebra}
\leftline{Definitions Quiz 5 -- March 2, 2007}
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\leftline{Your Name: $\underline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }$}
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A) (5) Let $A$ be an $n\times n$ matrix.  Give the expansion of the 
{\it determinant} of $A$ along the {\it first row}, and explain exactly what 
the notation $A_{1j}$ means. 
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B) (5)  True or False, and explain (briefly!):  If $A$ is a $5\times 5$
matrix with $\det(A) = 0$, then the system $Ax = b$ has infinitely many solutions
for all $b \in {\bf R}^5$.  
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