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\title{Quiz \#5}
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\begin{enumerate}

\item Show that $\{f | f(x)=f(-x)\}$ is a subspace of $C((-1,1))$.

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\item Is the set of $2\times 2$ matrices with $1$s along the diagonal a subspace? If so, show it. If not, show how at least one required property fails.

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\item Is the function $x+5$ in the space spanned by $x+1$ and $x+3$?

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\item Show that $\{(1,1,1),(0,1,2), (3,0,1)\}$ is a basis for $\mathbb R^3$.


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