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{\bf Math 325, Spring 2001}

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{\bf Assignment 3, due February 16}
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Read
Boyce and DiPrima, Sections 7.3-7.4 and the subsection on
\emph{Diagonalizable Matrices}, pp.\ 397-398, through Example 3 on p.\
398.

\medskip

Do p.\ 344 \#5,15,16, p.\ 355 \#21,24,25, p.\ 366 \#12-16,
26, 31-33.  For the matrix  
\begin{math}
  A
\end{math}
of p.\ 366 \#15 find 
\begin{math}
  T
\end{math}
such that 
\begin{math}
  T^{-1}AT=D
\end{math}
where 
\begin{math}
  D
\end{math}
is a diagonal matrix.  Confirm your choice of 
\begin{math}
  T
\end{math} 
by calculating 
\begin{math}
  T^{-1}AT.
\end{math}

\medskip

Suggested problems---these problems should not be turned in, but are
good problems for refreshing your linear algebra---p.\ 355
\#1-4,8-10,14,18,
p.\ 366 \#1-3,6,7


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You may want to start learning the Maple linear algebra commands.
You can find descriptions of the ones you will need in
the web page  \lq\lq Linear algebra in Maple," which is available from the 
Maple/Hints web page,
and 
in Chapter 12 of {\it Differential Equations
with Maple}.  

\medskip
{\bf Extra credit:}  For extra credit, you may do any of the assigned problems
using Maple, in addition to doing them by hand.

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