{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 "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 14 "with (linalg):" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "A:=matrix(3,3,[1,1,0,1,2,1,- 1,1,2]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AGK%'matrixG6#7%7%\"\" \"F*\"\"!7%F*\"\"#F*7%!\"\"F*F-Q(pprint06\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "B:=transpose(A);" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6#>%\"BGK%'matrixG6#7%7%\"\"\"F*!\"\"7%F*\"\"#F*7%\"\"!F*F-Q(pprint46 \"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "C:=multiply(B,A);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"CGK%'matrixG6#7%7%\"\"$\"\"#!\"\"7 %F+\"\"'\"\"%7%F,F/\"\"&Q(pprint56\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 33 "Eigenvalues:=evalf(Eigenvals(C));" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#>%,EigenvaluesGK%'vectorG6#7%$!+HpN&>$!#=$\"+!p[UN%! \"*$\"+68vX'*F.Q(pprint76\"" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 85 "Th en, the maximum eigenvalue is 9.645....and the l_2 norm of the matrix \+ A, ||A||_2 is" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "l2normofA:=sqrt(9.645751311);" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#>%*l2normofAG$\"+()4w0J!\"*" }}}{EXCHG {PARA 0 "" 0 " " {TEXT -1 36 "It can be computed directly by MAPLE" }}{PARA 0 "" 0 " " {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "norm(A,2) ;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*$,&\"\"(\"\"\"*$F%#F&\"\"#F&F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "evalf(norm(A,2));" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+()4w0J!\"*" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 17 "norm(A,infinity);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 39 "A2 :=matrix(3,3,[1,2,-1,0,3,-1,5,-1,1]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#A2GK%'matrixG6#7%7%\"\"\"\"\"#!\"\"7%\"\"!\"\"$F,7%\"\"&F,F*Q(pp rint26\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "norm(A2,infinit y);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 41 "norm( array([[1,-2],[3,-4]]), infinity );" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#-%$absG6#%\"cG" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 16 "evalf(exp(6.5));" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+IjT^m!\"(" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "16" 0 } {VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }