# LaTeX2HTML 99.1 release (March 30, 1999)
# Associate images original text with physical files.


$key = q/displaystylemathcal{Q}:,3x^2+y^2-z^2+2xy-2x+4z+5=0;;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="358" HEIGHT="40" ALIGN="MIDDLE" BORDER="0"
 SRC="img1.gif"
 ALT="$\displaystyle \mathcal{Q}: \,3x^2+y^2-z^2+2xy-2x+4z+5=0;
$">|; 

$key = q/;detmathcal{A}=-17;Rightarrow;r(mathcal{A})=4;;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="228" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="img3.gif"
 ALT="$ \;det\mathcal{A}=-17 \; \Rightarrow \;
r(\mathcal{A})=4\; $">|; 

$key = q/displaystyleP_{mathcal{A}_0}(lambda)=(3-lambda)(1-lambda)(-1-lambda)=cdotcdotcdot=-lambda^3+3lambda^2+5lambda-2=0.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="549" HEIGHT="40" ALIGN="MIDDLE" BORDER="0"
 SRC="img6.gif"
 ALT="$\displaystyle P_{\mathcal{A}_0}(\lambda)=(3-\lambda)(1-\lambda)(-1-\lambda)=\cdot\cdot\cdot=-\lambda^3+3\lambda^2+5\lambda-2=0.
$">|; 

$key = q/:detmathcal{A}<0:;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="88" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img8.gif"
 ALT="$ \:det\mathcal{A}&lt;0\: $">|; 

$key = q/;detmathcal{A}_0=-2;Rightarrow;r(mathcal{A}_0)=3;;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="234" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="img4.gif"
 ALT="$ \;det\mathcal{A}_0=-2 \; \Rightarrow \;
r(\mathcal{A}_0)=3\; $">|; 

$key = q/:mathcal{A}_0:;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="36" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img5.gif"
 ALT="$ \:\mathcal{A}_0 \:$">|; 

$key = q/:(2,1);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="51" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="img7.gif"
 ALT="$ \:(2,1)$">|; 

$key = q/{displaymath}mathcal{A}:=left(array{{cccc}5<col_mark>-1<col_mark>0<col_mark>2<rok>0<col_mark>0<col_mark>-1<row_mark>array{right){displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="435" HEIGHT="118" BORDER="0"
 SRC="img2.gif"
 ALT="\begin{displaymath}
\mathcal{A}\: = \left(
\begin{array}{cccc}
5 &amp; -1 &amp; 0 &amp; 2...
...0 \\\\
1 &amp; 1 &amp; 0 \\\\
0 &amp; 0 &amp; -1 \\\\
\end{array}
\right)
\end{displaymath}">|; 

1;

