{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 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 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 Output" 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 "" 11 12 1 {CSTYLE "" -1 -1 "" 0 1 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 81 "V tomto bloku muzete zkons truovat matici rotace o obecny uhel kolem osy [1,-1,1] " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "with(linalg);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#7^r%.BlockDiagonalG%,GramSchmidtG%,JordanBlockG%)LUdeco mpG%)QRdecompG%*WronskianG%'addcolG%'addrowG%$adjG%(adjointG%&angleG%( augmentG%(backsubG%%bandG%&basisG%'bezoutG%,blockmatrixG%(charmatG%)ch arpolyG%)choleskyG%$colG%'coldimG%)colspaceG%(colspanG%*companionG%'co ncatG%%condG%)copyintoG%*crossprodG%%curlG%)definiteG%(delcolsG%(delro wsG%$detG%%diagG%(divergeG%(dotprodG%*eigenvalsG%,eigenvaluesG%-eigenv ectorsG%+eigenvectsG%,entermatrixG%&equalG%,exponentialG%'extendG%,ffg ausselimG%*fibonacciG%+forwardsubG%*frobeniusG%*gausselimG%*gaussjordG %(geneqnsG%*genmatrixG%%gradG%)hadamardG%(hermiteG%(hessianG%(hilbertG %+htransposeG%)ihermiteG%*indexfuncG%*innerprodG%)intbasisG%(inverseG% 'ismithG%*issimilarG%'iszeroG%)jacobianG%'jordanG%'kernelG%*laplacianG %*leastsqrsG%)linsolveG%'mataddG%'matrixG%&minorG%(minpolyG%'mulcolG%' mulrowG%)multiplyG%%normG%*normalizeG%*nullspaceG%'orthogG%*permanentG %&pivotG%*potentialG%+randmatrixG%+randvectorG%%rankG%(ratformG%$rowG% 'rowdimG%)rowspaceG%(rowspanG%%rrefG%*scalarmulG%-singularvalsG%&smith G%,stackmatrixG%*submatrixG%*subvectorG%)sumbasisG%(swapcolG%(swaprowG %*sylvesterG%)toeplitzG%&traceG%*transposeG%,vandermondeG%*vecpotentG% (vectdimG%'vectorG%*wronskianG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 69 "a:=array([[sqrt(2)/2,-sqrt(2)/2,0],[sqrt(2)/2,sqrt(2)/2,0],[0, 0,1]]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"aG-%'matrixG6#7%7%,$*$- %%sqrtG6#\"\"#\"\"\"#\"\"\"F/,$F+#!\"\"F/\"\"!7%F*F*F67%F6F6F2" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "eigenvectors(a);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6%7%,&*$-%%sqrtG6#\"\"#\"\"\"#\"\"\"F)*&%\"IGF ,F&F*F+F,<#-%'vectorG6#7%,&!\"\"F,*&F&F*F$F,F,F,\"\"!7%,&F%F+F-#F5F)F, <#-F16#7%,&F5F,*&F&F*F9F,F,F,F77%F,F,<#-F16#7%F7F7F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 70 "a1:=array([[sqrt(2)/2,sqrt(2)/2,0],[-sqrt (2)/2,sqrt(2)/2,0],[0,0,1]]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#a1 G-%'matrixG6#7%7%,$*$-%%sqrtG6#\"\"#\"\"\"#\"\"\"F/F*\"\"!7%,$F+#!\"\" F/F*F37%F3F3F2" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 81 "b:=array( [[sqrt(2)/sqrt(3),0,1/sqrt(3)],[0,1,0],[-1/sqrt(3),0,sqrt(2)/sqrt(3)]] );" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"bG-%'matrixG6#7%7%,$*&-%%sqr tG6#\"\"#\"\"\"-F-6#\"\"$F0#\"\"\"F3\"\"!,$*$F1F0F47%F6F5F67%,$F8#!\" \"F3F6F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "eigenvectors(b) ;" }}{PARA 12 "" 1 "" {XPPMATH 20 "6%7%,&*&-%%sqrtG6#\"\"#\"\"\"-F'6# \"\"$F*#\"\"\"F-*&%\"IGF/F+F*F.F/<#-%'vectorG6#7%F/\"\"!,&*$F&F*!\"\"* &F+F*F$F/F/7%,&F%F.F0#F:F-F/<#-F46#7%F/F7,&F9F:*&F+F*F=F/F/7%F/F/<#-F4 6#7%F7F/F7" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 82 "b1:=array([[s qrt(2)/sqrt(3),0,-1/sqrt(3)],[0,1,0],[1/sqrt(3),0,sqrt(2)/sqrt(3)]]); " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#b1G-%'matrixG6#7%7%,$*&-%%sqrtG 6#\"\"#\"\"\"-F-6#\"\"$F0#\"\"\"F3\"\"!,$*$F1F0#!\"\"F37%F6F5F67%,$F8F 4F6F*" }}}{EXCHG {PARA 11 "" 1 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 44 "d:=simplify(evalm(a1 &* b1 &* e &* b &* a));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"dG-%'matrixG6#7%7%,&#\"\"\"\"\"$ F,-%$cosG6#%\"fG#\"\"#F-,(#!\"\"F-F,F.F+*&-%%sqrtG6#F-\"\"\"-%$sinGF0F ,F5,(F+F,F7F5F.F57%,(F5F,F7F+F.F+F*F47%,(F+F,F.F5F7F+F@F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 57 "e:=array([[1,0,0],[0,cos(f),-sin(f) ],[0,sin(f),cos(f)]]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"eG-%'mat rixG6#7%7%\"\"\"\"\"!F+7%F+-%$cosG6#%\"fG,$-%$sinGF/!\"\"7%F+F2F-" }}} }{MARK "1 1 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 }