$page_title       = "Exhibit: A puzzle";
$page_description = "Exhibit page on systems of equations in Math 21b, Linear Algebra and Applications";
${base}           = "../../";
$robots = "all";

sub main_page {
print OUTPUT<<"EOF"

<h2> A puzzle </h2>

We have learned that if a matrix A has an eigenvector v to an 
eigenvalue L, then B=A<sup>10</sup> has an eigenvalue L<sup>10</sup>
to the same eigenvector. A student checked this with the computer and 
sent in the following screen shot. Obviously the eigenvectors of B
are not the same then the eigenvectors of A. It is your task to 
solve the puzzle! <br><br>

<center>
<img src="puzzle.png">
</center> 


EOF
}

1;