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\title{Quiz \# 6}

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\item Find a basis for the kernel and range of the linear transformation $L\colon\mathbb R^3\to\mathbb R^2$ given by
\[    
L(\mathbf{v})=\begin{bmatrix}
1 & 2 & 3 \\
2 & 4 & 5
\end{bmatrix}\mathbf{v}.
\]

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\item Use Gram-Schmidt to turn $\{(1,1,3), (0,3,1), (1,1,0)\}$ into an orthogonal basis (it doesn't have to be orthonormal).

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