{VERSION 3 0 "IBM INTEL NT" "3.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Outpu t" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 0 256 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 24 "Matrix Algebra example 1" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 44 "To find the equilibrium points of the system" }}{PARA 256 "" 0 "" {OLE 1 4101 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>N:F:nyyyyy]::yyyyyy:::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::fyyyyya :nYf::G:jy;::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::JcvGYMt>^:fBWMtNHm=;:::::::n:;JZC:bK B::>\\=i[>OyWpq;V:>j>Z:j:vCSmlJ::::::::::OJ;@jyyyyyy;jysy;Z:::::::^<>: F::]KRnC=MtFGgml>:;::::::JGN:ry:>:<::::::=J:>K>:F:AlqfG[maNFO=;::::::: :_J;vyyuy:>:<::::::AZ:^E>:nYN:J:W:YJ:>\\:B: ]:wAyA:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::j:b:ANCHrvFZlVjsoZ<:TrPDk;]Q;ZlZLJ::<::::j:nyyYZDjysyQj; J:>R<:TNC>:UTRcETcTX[US;SK]UW=EWMuUWm>j\\@A:::cYH_WV>Z::::::::jysyA:CB :F:;jysy?:;:eIJeEZ:F:MZ=Vg;J;f<>:EJ:F[Z :^:n_;>=E:]c:=Z:f:V[b>>^Bn;n^@v;_jysy;B:KZ:>ryysyAvAv[>V;n>^; UTR:;Jjg:J;D_mlVH[KRJ:<:::::::>=?R:>:?J:@>Z::::::::kJ:vYxI:;Z::::::Jyyyy[:::::::::::::vYxI:;Z:::: ::::::::::::::::yay=J:B::::::::jBjwEJ:uI;B:>l;>Z:b:DJ:^jLVECf>>:;:::::::::JSfj=nH=:G;eZ:VY;><: [V:=:;b:^dcgg_WhZnc_whZNdigg[oGeJIKG:M:_;Ku:=J :>IN;:C:[q:F;;JSdjb^e;F:;B:uKfG;N@Ff>F:;jO>UJSFLKU:=:u ;JSJIEj:>:UC:k@N@nk>F:V?f<;jw;<:[V:B:D:c\\_;:JX;j>>:_kbNk:[Z:VY[j=J:^qX=j;::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::2:" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 40 "First lo ad the package 'linalg' as below" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart:" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 13 "with(linalg):" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 35 "Then enter the equations as follows" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "E1:=2*x+3*x*y;" }}{PARA 11 "" 1 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "E2:=-y+2*x*y;" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 30 "At the equilibrium point A=B=0" }} }{EXCHG {PARA 0 "" 0 "" {TEXT -1 60 "Now use the 'solve' command to so lve simultaneous equations " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "solve(\{E1=0,E2=0\},\{x,y\});" }}{PARA 11 "" 1 "" {TEXT -1 0 "" }} }{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}}}{MARK "9 0 0" 25 }{VIEWOPTS 1 1 0 1 1 1803 }