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\textbf{Math 228: Intro to Lin Alg \& Diff Eqns}
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\textbf{Quiz 7}\quad \textsl{March 28, 2002}
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1. Let $T:\R^3\to\R^2$ be the linear transformation defined by
  \[ T(x,y,z) = (5x-y-z,-4x+y+2z) \]
Let $B = \{(2,-1,0), (-1,2,-1), (0,-1,2)\}$ be a basis for $\R^3$ and
let $C = \{ (3,11), (1,4) \}$ be a basis for~$\R^2$.  Find $[T]_{BC}$.

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2. Find the eigenvalues and eigenvectors of the matrix $A =
\left[\begin{array}{rr}11&-2\\24&-3\end{array}\right]$.

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