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\textbf{Math 228: Intro to Lin Alg \& Diff Eqns}
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\textbf{Quiz 5}\quad \textsl{Feb. 28, 2002}
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1. a) Find a basis of the row space of the matrix 
$A = \left[\begin{array}{cccc}
1&2&-1&3\\
-2&-3&5&-2\\
3&7&2&15\\
1&3&4&9\end{array}\right]$

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b) Find the dimension of $NS(A)$.

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2. Determine whether $B = \{ 1 + x + x^2, 1 - x + x^2, 1 + x - x^2\}$ is a
basis of $P_2$, the vector space of polynomials of degree $\le 2$.  \vfill

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