{VERSION 5 0 "IBM INTEL LINUX" "5.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {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 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Text Output" -1 2 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 0 0 0 0 0 1 3 0 3 0 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Warning" 2 7 1 {CSTYLE "" -1 -1 " " 0 1 0 0 255 1 0 0 0 0 0 0 1 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 } {PSTYLE "Maple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 0 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 "" 11 12 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 89 "a := Matrix([[1,1,1,1,1],[16,8,4,2,1],[81,27,9,3,1],[ 256,64,16,4,1],[625,125,25,5,1]]);\n\n" }}{PARA 0 "" 0 "" {TEXT -1 0 " " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"aG-%'RTABLEG6$\"*;_lO\"-%'MATR IXG6#7'7'\"\"\"F.F.F.F.7'\"#;\"\")\"\"%\"\"#F.7'\"#\")\"#F\"\"*\"\"$F. 7'\"$c#\"#kF0F2F.7'\"$D'\"$D\"\"#D\"\"&F." }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 26 " with(linalg);\n det(a); \n" }}{PARA 7 "" 1 "" {TEXT -1 80 "Warning, the protected names norm and trace have been red efined and unprotected\n" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#7^r%.Block DiagonalG%,GramSchmidtG%,JordanBlockG%)LUdecompG%)QRdecompG%*Wronskian G%'addcolG%'addrowG%$adjG%(adjointG%&angleG%(augmentG%(backsubG%%bandG %&basisG%'bezoutG%,blockmatrixG%(charmatG%)charpolyG%)choleskyG%$colG% 'coldimG%)colspaceG%(colspanG%*companionG%'concatG%%condG%)copyintoG%* crossprodG%%curlG%)definiteG%(delcolsG%(delrowsG%$detG%%diagG%(diverge G%(dotprodG%*eigenvalsG%,eigenvaluesG%-eigenvectorsG%+eigenvectsG%,ent ermatrixG%&equalG%,exponentialG%'extendG%,ffgausselimG%*fibonacciG%+fo rwardsubG%*frobeniusG%*gausselimG%*gaussjordG%(geneqnsG%*genmatrixG%%g radG%)hadamardG%(hermiteG%(hessianG%(hilbertG%+htransposeG%)ihermiteG% *indexfuncG%*innerprodG%)intbasisG%(inverseG%'ismithG%*issimilarG%'isz eroG%)jacobianG%'jordanG%'kernelG%*laplacianG%*leastsqrsG%)linsolveG%' mataddG%'matrixG%&minorG%(minpolyG%'mulcolG%'mulrowG%)multiplyG%%normG %*normalizeG%*nullspaceG%'orthogG%*permanentG%&pivotG%*potentialG%+ran dmatrixG%+randvectorG%%rankG%(ratformG%$rowG%'rowdimG%)rowspaceG%(rows panG%%rrefG%*scalarmulG%-singularvalsG%&smithG%,stackmatrixG%*submatri xG%*subvectorG%)sumbasisG%(swapcolG%(swaprowG%*sylvesterG%)toeplitzG%& traceG%*transposeG%,vandermondeG%*vecpotentG%(vectdimG%'vectorG%*wrons kianG" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"$)G" }}}{EXCHG {PARA 11 "" 1 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "b := V ector[column]([1,9,36,100,225]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>% \"bG-%'RTABLEG6$\"*kp/O\"-%'MATRIXG6#7'7#\"\"\"7#\"\"*7#\"#O7#\"$+\"7# \"$D#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 " linsolve(a,b);" } }{PARA 11 "" 1 "" {XPPMATH 20 "6#-%'vectorG6#7'#\"\"\"\"\"%#F(\"\"#F' \"\"!F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "poly := (y^4 +2* y^3 +y^2)/4;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%polyG,(*$)%\"yG\"\" %\"\"\"#F*F)*&#F*\"\"#F*)F(\"\"$F*F**&F+F*)F(F.F*F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "p := 4 *poly;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"pG,(*$)%\"yG\" \"%\"\"\"F**&\"\"#F*)F(\"\"$F*F**$)F(F,F*F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "factor(p);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&)% \"yG\"\"#\"\"\"),&F%F'F'F'F&F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "sum(k^3,k=1..n);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,(*$),&%\" nG\"\"\"F(F(\"\"%F(#F(F)*&#F(\"\"#F(*$)F&\"\"$F(F(!\"\"*&F*F()F&F-F(F( " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 " simplify(%);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,(*$)%\"nG\"\"%\"\"\"#F(F'*&#F(\"\"#F()F&\" \"$F(F(*&F)F()F&F,F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "f actor(%);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*&)%\"nG\"\"#\"\"\"),&F &F(F(F(F'F(#F(\"\"%" }}}}{MARK "11" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }{RTABLE_HANDLES 136655216 136046964 } {RTABLE M7R0 I6RTABLE_SAVE/136655216X,%)anythingG6"6"[gl!"%!!!#:"&"&""""#;"#")"$c#"$D'F'"")" #F"#k"$D"F'""%""*F("#DF'""#""$F0""&F'F'F'F'F'F& } {RTABLE M7R0 I6RTABLE_SAVE/136046964X*%)anythingG6"6"[gl!#%!!!"&"&"""""*"#O"$+""$D#F& }