{VERSION 4 0 "IBM INTEL NT" "4.0" } {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 "restart:" }}{PARA 0 " > " 0 "" {MPLTEXT 1 0 13 "with(linalg):" }}{PARA 7 "" 1 "" {TEXT -1 80 "Warning, the protected names norm and trace have been redefined an d unprotected\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 108 "A:=matr ix([[1,-2],[1,-1],[1,0],[1,2]]): B:=transpose(A): X:=matrix([[a],[b]]) : Y:=matrix([[4],[3],[1],[0]]):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "evalm(A)*evalm(X)=evalm(Y);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 #/*&-%'matrixG6#7&7$\"\"\"!\"#7$F*!\"\"7$F*\"\"!7$F*\"\"#F*-F&6#7$7#% \"aG7#%\"bGF*-F&6#7&7#\"\"%7#\"\"$7#F*7#F/" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 53 "evalm(B) * evalm(A) * evalm(X) = evalm(B) * evalm(Y );" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/*(-%'matrixG6#7$7&\"\"\"F*F*F*7 &!\"#!\"\"\"\"!\"\"#F*-F&6#7&7$F*F,7$F*F-7$F*F.7$F*F/F*-F&6#7$7#%\"aG7 #%\"bGF**&F%F*-F&6#7&7#\"\"%7#\"\"$7#F*7#F.F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "evalm(B&*A)*evalm(X) = evalm(B&*Y);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/*&-%'matrixG6#7$7$\"\"%!\"\"7$F+\"\"*\"\"\"-F& 6#7$7#%\"aG7#%\"bGF.-F&6#7$7#\"\")7#!#6" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "4*a - b = 8; -a + 9*b = -11;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/,&%\"aG\"\"%%\"bG!\"\"\"\")" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/,&%\"aG!\"\"*&\"\"*\"\"\"%\"bGF)F)!#6" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 44 "solve(\{4*a - b = 8, -a + 9*b = -11 \}, \{a,b\});" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#<$/%\"aG#\"#h\"#N/%\" bG#!#OF(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "y = (61/35) + ( -36/35)*x;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/%\"yG,&#\"#h\"#N\"\"\"* &#\"#OF(F)%\"xGF)!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "0 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }