{VERSION 3 0 "APPLE_PPC_MAC" "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 Input" 2 19 "" 0 1 255 0 0 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 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "with(linalg):" "6#-%%w ithG6#%'linalgG" }}}{EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "P := matri x([[2/3, 0, 1/2], [1/3, 1/2, 1/6], [0, 1/2, 1/3]]);" "6#>%\"PG-%'matri xG6#7%7%*&\"\"#\"\"\"\"\"$!\"\"\"\"!*&\"\"\"F,\"\"#F.7%*&\"\"\"F,\"\"$ F.*&\"\"\"F,\"\"#F.*&\"\"\"F,\"\"'F.7%F/*&\"\"\"F,\"\"#F.*&\"\"\"F,\" \"$F." }}}{EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "evalm(P^2);" "6#-%&e valmG6#*$%\"PG\"\"#" }}}{EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "x0 := \+ matrix([[1499.0/1500], [1.0/1500], [.0e-2]]);" "6#>%#x0G-%'matrixG6#7% 7#*&$\"&!*\\\"!\"\"\"\"\"\"%+:!\"\"7#*&$\"#5!\"\"F.\"%+:F07#$\"\"!!\"$ " }}}{EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "x1 := evalm(`&*`(P,x0)); " "6#>%#x1G-%&evalmG6#-%#&*G6$%\"PG%#x0G" }}}{EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "x2 := evalm(`&*`(P,x1));" "6#>%#x2G-%&evalmG6#-%#&*G6$% \"PG%#x1G" }}}{EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "x5 := evalm(P^5* x0);" "6#>%#x5G-%&evalmG6#*&%\"PG\"\"&%#x0G\"\"\"" }}}{EXCHG {PARA 0 " > " 0 "" {XPPEDIT 19 1 "x50 := evalm(P^50*x0);" "6#>%$x50G-%&evalmG6#* &%\"PG\"#]%#x0G\"\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "x100 := evalm(P^100*x0);" "6#>%%x100G-%&evalmG6#*&%\"PG\"$+\"%#x0G\"\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "" "6#%#%?G" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 46 "Id:=matrix([[1, 0, 0], [0, 1, 0], [ 0, 0, 1]]);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "A:=evalm(P-I d);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "zero:=matrix([[0], [ 0], [0]]);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "augment(A,zer o);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "rref(%);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "q := matrix([[9/23], [8/23], [6/23] ]);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "evalm(P&*q);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "18" 0 } {VIEWOPTS 1 1 0 1 1 1803 }