{VERSION 5 0 "SUN SPARC SOLARIS" "5.0" }
{USTYLETAB {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 }
{CSTYLE "" -1 256 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 
257 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 258 "" 0 1 0 0 
0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 259 "" 1 14 0 0 0 0 0 1 0 0 0 
0 0 0 0 0 }{CSTYLE "" -1 260 "" 1 14 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }
{CSTYLE "" -1 261 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 
262 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 263 "" 1 12 0 0 
0 0 0 2 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 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 0 }1 0 0 0 8 4 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Output" 0 11 
1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 3 0 -1 -1 -1 
0 0 0 0 0 0 -1 0 }{PSTYLE "" 0 256 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 0 
257 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 
-1 -1 0 0 0 0 0 0 -1 0 }}
{SECT 0 {PARA 256 "" 0 "" {TEXT -1 0 "" }{TEXT 258 0 "" }{TEXT 259 11 
"Math 2270-3" }}{PARA 257 "" 0 "" {TEXT 260 15 "Maple Project I" }}
{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 261 38 "Part A: \+
 some matrix algebra questions" }}{PARA 0 "" 0 "" {TEXT -1 67 "(These \+
questions are modified from problems on page 27 of the text " }{TEXT 
257 36 "Multivariable Mathematics with Maple" }{TEXT -1 267 ", by J.A.
 Carlson and J.M Johnson.)  You are to create a document in which you \+
answer the following questions, via a mixture of Maple computations an
d textual insertions.  You are to print out a copy of this document to
 hand in.  Don't forget to put your name on it! " }}{PARA 0 "" 0 "" 
{TEXT -1 15 "      Define   " }{TEXT 256 1 " " }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%\"AG-%'matrixG6#7%7%\"\"\"\"\"#\"\"$7%\"\"%\"\"&\"\"'
7%\"\"(\"\")\"\"*" }}{PARA 11 "" 1 "" {TEXT -1 0 "" }}{PARA 11 "" 1 "
" {XPPMATH 20 "6#>%\"BG-%'matrixG6#7%7%\"\"#\"\"\"\"\"!7%F+F*F+7%F,F+F
*" }}{PARA 3 "" 0 "" {TEXT -1 0 "" }}{PARA 3 "" 0 "" {TEXT 263 43 "1a)
  Compute AB and BA.  Are they the same?" }}{PARA 0 "" 0 "" {TEXT -1 
45 "1b)  Compute A+B and B+A.  Are they the same?" }}{PARA 0 "" 0 "" 
{TEXT -1 235 "1c)  Define C to be A+B.  Compute C^2 and compare it to \+
A^2 + 2AB + B^2.  Are they the same?  Can you think of a small change \+
you could make in the expression ``A^2 + 2AB + B^2'' in order to make \+
it equal to C^2?  Justify your answers!" }}{PARA 0 "" 0 "" {TEXT -1 
93 "1d)  Define v=(1,2,3) to be a vector.  Compute Av.  What does Mapl
e give you when you try vA?" }}{PARA 0 "" 0 "" {TEXT -1 226 "1e)  Solv
e Bx=v for x, where v is the vector in (1d).  Get your solution all th
ree ways that were indicated above:  by row-reducing the augmented mat
rix, by using the command ``linsolve'', and by using the inverse matri
x to B." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 
136 "2a) Solve Ax=v for x, where A and v are as indicated above.  Veri
fy, with Maple, that your solution x actually solves the equation Ax=v
." }}{PARA 0 "" 0 "" {TEXT -1 91 "2b)  Repeat your work above in order
 to solve Ax=w, where w=(-1,4,1).  Explain your answer." }}{PARA 0 "" 
0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }{TEXT 262 21 "Part
  B:  reflections" }}{PARA 0 "" 0 "" {TEXT -1 614 "Work through the wo
rksheet \"2270vec.mws.\"  This worksheet goes through the process of a
dding vectors in 2D and executes code for projecting vectors in 2D.  N
ote how there is code to visualize the projection.  Try inputting some
 different vectors in to see how additions and projections work.  Your
 task for this part is to write a Maple Worksheet that takes a vector \+
in 2D and reflects it about a line in the coordinate plane and then vi
sualizes this projection. Feel free to use any vector to test and debu
g your program. Make sure you put the appropriate text comments into y
our file so that I can understand it." }}{PARA 0 "" 0 "" {TEXT -1 0 "
" }}}{MARK "20 0" 106 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 
0 1 2 33 1 1 }