{VERSION 5 0 "IBM INTEL NT" "5.0" }
{USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 0 0 0 128 1 0 2 0 0 
1 0 0 0 0 1 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 
0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Warni
ng" -1 7 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 2 2 2 2 2 1 1 1 
3 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "R3 Font 0" -1 256 1 
{CSTYLE "" -1 -1 "Courier" 1 11 128 0 128 1 2 1 2 2 2 2 1 1 1 1 }1 1 
0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "R3 Font 2" -1 257 1 {CSTYLE "" -1 
-1 "Courier" 1 11 0 128 128 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 
0 2 2 0 1 }}
{SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "with(linalg):" }}{PARA 7 "" 1 "" 
{TEXT -1 80 "Warning, the protected names norm and trace have been red
efined and unprotected\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "A:=matrix([  [a,b,c ],
" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "             [d,e,f  ]," }}
{PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "             [1-a-d,1-e-b,1-f-c ]  \+
]):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "
> " 0 "" {MPLTEXT 1 0 23 "A2:=matrix([  [1-a,b ]," }}{PARA 0 "> " 0 "
" {MPLTEXT 1 0 26 "             [a,1-b  ] ]):" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 33 "C:
=matrix([  [0.45, 0.05, 0.01 ]," }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "
             [0.48, 0.70, 0.50  ]," }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 
38 "             [0.07, 0.25, 0.49 ]   ]):" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "F:=matrix([  [0.72, 0.23 ],
" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "             [0.28, 0.77 ]  ]):
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 47 "H:=matrix([  [0.8797, 0.0382, 0.0527, 0.0008 ]
," }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "             [0.0212, 0.8002, \+
0.0041, 0.0143 ]," }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "             [
0.0981, 0.0273, 0.8802, 0.0527 ]," }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 
51 "             [0.0010, 0.1343, 0.0630, 0.9322]   ]):" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }{TEXT -1 0 "" }}}{EXCHG {PARA 0 "
> " 0 "" {MPLTEXT 1 0 39 "L:=matrix([  [0,     0,     1,    9  ]," }}
{PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "             [0.67,  0,     0,    0
   ]," }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 41 "             [0,     0.23,
  0,    0   ], " }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "             [0,
     0,     0.57, 0   ]   ]):" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 1 "\n
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "b:=matrix([  [50]," }}
{PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "             [300]," }}{PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 23 "             [2000] ]):" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 16 "# evalm(A &* b);" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 36 "# seq( evalm(A^i &* b),    i=1..10);" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "# B:=diag(1,1,1,1,1,1):" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "  B:=diag(1,1):" }}}{EXCHG {PARA 0 
"> " 0 "" {MPLTEXT 1 0 59 " p1:=det(A2-x*B): #   m\366glich:   p3:=det
(A-x):\nsolve(p1,x):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "# p
2:=charpoly(A,x):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "# r:=r
ank(A):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "# ew:=eigenvals(
A):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "  ev:=eigenvects(A2)
:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "# linsolve(A,b):" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "# gausselim(B):" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "# b:=vector( [40,20,12]):" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "# solve(p2,x):" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "# G:=evalm(H^100):" }}}{EXCHG 
{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "b:=
matrix([  [0.42]," }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "             [
0.58] ]):" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 17 " # evalm(G &* b):" }}
{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "31" 0 }{VIEWOPTS 1 1 0 
1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }