{VERSION 6 0 "IBM INTEL NT" "6.0" } {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 "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 "Warning" -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 "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 3 0 0 0 0 1 0 1 0 2 2 0 1 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "?matrix;" }}}{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 29 "with(Student[LinearAlgebra]):" }}{PARA 7 "" 1 "" {TEXT -1 47 "Warning , the name GramSchmidt has been rebound\n" }}{PARA 7 "" 1 "" {TEXT -1 65 "Warning, the protected name . has been redefined and unprotected\n " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 69 "A:=matrix(4,5,[4,-1,-1, 0,30,-1,4,0,-1,60,-1,0,4,-1,40,0,-1,-1,4,70]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AGK%'matrixG6#7&7'\"\"%!\"\"F+\"\"!\"#I7'F+F*F,F+\" #g7'F+F,F*F+\"#S7'F,F+F+F*\"#qQ(pprint06\"" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 25 "A1:=addrow(A, 1, 2, 1/4);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#A1GK%'matrixG6#7&7'\"\"%!\"\"F+\"\"!\"#I7'F,#\"#:F*# F+F*F+#\"$N\"\"\"#7'F+F,F*F+\"#S7'F,F+F+F*\"#qQ(pprint16\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "A2:=swaprow(A1, 2, 3);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#A2GK%'matrixG6#7&7'\"\"%!\"\"F+\"\"!\"#I7'F+ F,F*F+\"#S7'F,#\"#:F*#F+F*F+#\"$N\"\"\"#7'F,F+F+F*\"#qQ(pprint26\"" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "A3:=addrow(A2, 1, 2, 1/4); " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#A3GK%'matrixG6#7&7'\"\"%!\"\"F+ \"\"!\"#I7'F,#F+F*#\"#:F*F+#\"#&*\"\"#7'F,F0F/F+#\"$N\"F47'F,F+F+F*\"# qQ(pprint36\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "A4:=swapro w(A3, 2, 4);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#A4GK%'matrixG6#7&7' \"\"%!\"\"F+\"\"!\"#I7'F,F+F+F*\"#q7'F,#\"#:F*#F+F*F+#\"$N\"\"\"#7'F,F 3F1F+#\"#&*F6Q(pprint46\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "A5:=addrow(A4, 2, 3, 15/4);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%# A5GK%'matrixG6#7&7'\"\"%!\"\"F+\"\"!\"#I7'F,F+F+F*\"#q7'F,F,!\"%\"#9\" $I$7'F,#F+F*#\"#:F*F+#\"#&*\"\"#Q(pprint56\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "A6:=addrow(A5, 2, 4, -1/4);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#A6GK%'matrixG6#7&7'\"\"%!\"\"F+\"\"!\"#I7'F,F+F+F*\" #q7'F,F,!\"%\"#9\"$I$7'F,F,F*!\"#F-Q(pprint66\"" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 24 "A7:=mulrow(A6, 3, -1/4);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#A7GK%'matrixG6#7&7'\"\"%!\"\"F+\"\"!\"#I7'F,F+F+F*\" #q7'F,F,\"\"\"#!\"(\"\"##!$l\"F47'F,F,F*!\"#F-Q(pprint76\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "A8:=addrow(A7,3,4,-4);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#A8GK%'matrixG6#7&7'\"\"%!\"\"F+\"\"!\"#I7'F, F+F+F*\"#q7'F,F,\"\"\"#!\"(\"\"##!$l\"F47'F,F,F,\"#7\"$g$Q(pprint86\" " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "A9:=mulrow(A8, 4, 1/12) ;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#A9GK%'matrixG6#7&7'\"\"%!\"\"F +\"\"!\"#I7'F,F+F+F*\"#q7'F,F,\"\"\"#!\"(\"\"##!$l\"F47'F,F,F,F1F-Q(pp rint96\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "A10:=addrow(A9, 4,3,7/2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$A10GK%'matrixG6#7&7'\" \"%!\"\"F+\"\"!\"#I7'F,F+F+F*\"#q7'F,F,\"\"\"F,#\"#X\"\"#7'F,F,F,F1F-Q )pprint106\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "A11:=addrow (A10,4,2,-4);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$A11GK%'matrixG6#7& 7'\"\"%!\"\"F+\"\"!\"#I7'F,F+F+F,!#]7'F,F,\"\"\"F,#\"#X\"\"#7'F,F,F,F1 F-Q)pprint116\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "A12:=add row(A11,3,2,1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$A12GK%'matrixG6# 7&7'\"\"%!\"\"F+\"\"!\"#I7'F,F+F,F,#!#b\"\"#7'F,F,\"\"\"F,#\"#XF17'F,F ,F,F3F-Q)pprint126\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "A13 :=addrow(A12,3,1,1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$A13GK%'matr ixG6#7&7'\"\"%!\"\"\"\"!F,#\"$0\"\"\"#7'F,F+F,F,#!#bF/7'F,F,\"\"\"F,# \"#XF/7'F,F,F,F4\"#IQ)pprint136\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "A14:=addrow(A13,2,1,-1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$A14GK%'matrixG6#7&7'\"\"%\"\"!F+F+\"#!)7'F+!\"\"F+F+ #!#b\"\"#7'F+F+\"\"\"F+#\"#XF17'F+F+F+F3\"#IQ)pprint146\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "A15:=mulrow(A14,1,1/4);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$A15GK%'matrixG6#7&7'\"\"\"\"\"!F+F+\"#?7' F+!\"\"F+F+#!#b\"\"#7'F+F+F*F+#\"#XF17'F+F+F+F*\"#IQ)pprint156\"" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "A16:=mulrow(A15,2,-1);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%$A16GK%'matrixG6#7&7'\"\"\"\"\"!F+F+ \"#?7'F+F*F+F+#\"#b\"\"#7'F+F+F*F+#\"#XF07'F+F+F+F*\"#IQ)pprint166\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "rref(A);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#K%'matrixG6#7&7'\"\"\"\"\"!F)F)\"#?7'F)F(F)F)#\"#b\" \"#7'F)F)F(F)#\"#XF.7'F)F)F)F(\"#IQ)pprint176\"" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "21 0 0" 0 }{VIEWOPTS 1 1 0 3 2 1804 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }