{VERSION 3 0 "SUN SPARC SOLARIS" "3.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 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 "Heading 1" 0 3 1 {CSTYLE "" -1 -1 "" 1 18 0 0 0 0 0 1 0 0 0 0 0 0 0 }1 0 0 0 8 4 0 0 0 0 0 0 -1 0 }{PSTYLE "Heading 2" 3 4 1 {CSTYLE "" -1 -1 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 8 2 0 0 0 0 0 0 -1 0 }{PSTYLE "Hea ding 3" 4 5 1 {CSTYLE "" -1 -1 "" 1 12 0 0 0 0 1 0 0 0 0 0 0 0 0 }0 0 0 -1 0 0 0 0 0 0 0 0 -1 0 }{PSTYLE "Title" 0 18 1 {CSTYLE "" -1 -1 "" 1 18 0 0 0 0 0 1 1 0 0 0 0 0 0 }3 0 0 -1 12 12 0 0 0 0 0 0 19 0 }} {SECT 0 {EXCHG {PARA 18 "" 0 "" {TEXT -1 0 "" }{MPLTEXT 1 0 22 "Maple \+ Project for 1502" }}}{EXCHG {PARA 5 "" 0 "" {TEXT -1 21 "Written by To m Morley" }}}{EXCHG {PARA 5 "" 0 "" {TEXT -1 86 "If there are any ques tuons, comments, etc regarding this Maple worksheet, write me at:" }} {PARA 5 "" 0 "" {TEXT -1 23 "morley@math.gatech.edu " }}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 20 " Linear Solve Stuff " }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "with(linalg); " }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 38 "Suppose we want to solve the system " }}{PARA 0 "" 0 " " {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 33 " 1 x + 2 y + 3 z = 1" }}{PARA 0 "" 0 "" {TEXT -1 33 " 4 x + 5 y + 6 z = 2" }}{PARA 0 "" 0 "" {TEXT -1 32 " 7 x + 8 y + 12 z = \+ 3" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 54 "We first enter the coefficents on the lef t hand side: " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "B := [[1,2,3],[4,5,6],[7,8,12]];" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 79 "Then solve.. The vector [1,2,3] are simpl y the nimbers on the right hand side. " }}{PARA 0 "" 0 "" {TEXT -1 0 " " }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "linsolve(B,[1,2,3]);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 25 "Here is another example. " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "C := [[1,2,3],[3,4,5],[3,7,1]];" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "linsolve(C, [5,4,5]);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 32 "Here is another way to do this. " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 50 "ans := gausselim([[1,2,3,5],[3,4,5,4],[2,7, 1,5]]);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "backsub(ans);" } }}{SECT 0 {PARA 4 "" 0 "" {TEXT -1 10 " Exercises" }}{EXCHG {PARA 0 " " 0 "" {TEXT -1 54 "Exercise1. : Find the solution to the linear sys tem:" }}{PARA 0 "" 0 "" {TEXT -1 57 " Solve this using both linsolve \+ and gaussian - backsub " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 " " 0 "" {TEXT -1 36 " 2x - y - z - w = 1," }}{PARA 0 " " 0 "" {TEXT -1 35 " -x + 2y -z - w = 2." }}{PARA 0 "" 0 "" {TEXT -1 35 " -x - y + 3z - w = 4," }}{PARA 0 "" 0 "" {TEXT -1 35 " -x - y - z + 5 w = 6," }}{PARA 0 "" 0 " " {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 99 "Exercise 2. Solv e problems 2 b and 2d on page 17 of DEMKO. Use gausselim on problem 2e (same page)" }}{PARA 0 "" 0 "" {TEXT -1 27 " What do the results mean ? " }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 111 "Use HELP to look up the fu nctions (which you actuivated with \"with(linalg);, colspace, and null space. Use these" }}{PARA 0 "" 0 "" {TEXT -1 102 "funcitons to solve p roblems 4f,g amd h on page 58, and problem 3 on page 75. Explain in wo rds what the" }}{PARA 0 "" 0 "" {TEXT -1 34 "output that maple produce s means. " }}}}}}{MARK "3 12 2 0 0" 48 }{VIEWOPTS 1 1 0 1 1 1803 }