{VERSION 5 0 "IBM INTEL NT" "5.0" }
{USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 
1 0 0 0 0 1 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 
0 0 0 0 0 0 0 0 0 1 }0 0 0 -1 -1 -1 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 0 }3 0 0 -1 
12 12 0 0 0 0 0 0 19 0 }}
{SECT 0 {EXCHG {PARA 18 "" 0 "" {TEXT -1 12 "Cryptography" }}}{EXCHG 
{PARA 0 "" 0 "" {TEXT -1 14 "Meet Me Monday" }}{PARA 0 "" 0 "" {TEXT 
-1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "with(linalg):" }}
}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 143 "matrix(27,2,['_',0,A,1,B,2
,C,3,D,4,E,5,F,6,G,7,H,8,I,9,J,10,K,11,L,12,M,13,N,14,O,15,P,16,Q,17,R
,18,S,19,T,20,U,21,V,22,W,23,X,24,Y,25,Z,26]);\n" }}}{EXCHG {PARA 0 "
" 0 "" {TEXT -1 33 "Enter the uncoded matrices below." }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 141 "v1 := matrix(1,3,[13,5,5]); v2 := \+
matrix(1,3,[20,0,13]); v3 := matrix(1,3,[5,0,13]); v4:= matrix(1,3,[15
,14,4]); v5 := matrix(1,3,[1,25,0]);\n" }}}{EXCHG {PARA 0 "" 0 "" 
{TEXT -1 32 "Enter the encoding matrix below." }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 42 "A := matrix(3,3,[1,-2,2,-1,1,3,1,-1,-4]);\n" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 30 "Find the coded matrices below." }}
}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 118 "v1A := evalm(v1&*A)=w1; v2
A := evalm(v2&*A)=w2; v3A := evalm(v3&*A)=w3; v4A := evalm(v4&*A)=w4; \+
v5A:= evalm(v5&*A)=w5;" }{TEXT -1 0 "" }{MPLTEXT 1 0 1 "\n" }}}{EXCHG 
{PARA 0 "" 0 "" {TEXT -1 31 "Find the decoding matrix below." }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "inverse(A);\n" }}}{EXCHG 
{PARA 0 "" 0 "" {TEXT -1 32 "Find the decoded matrices below." }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 311 "v1 := matrix(1,3,[13,-26,21
])*inverse(A)=matrix(1,3,[13,5,5]);v2:=matrix(1,3,[33,-53,-12])*invers
e(A)=matrix(1,3,[20,0,13]);v3:=matrix(1,3,[18,-23,-42])*inverse(A)=mat
rix(1,3,[5,0,13]); v4 :=matrix(1,3,[5,-20,56])*inverse(A)=matrix(1,3,[
15,14,4]); v5 := matrix(1,3,[-24,23,77])*inverse(A)=matrix(1,3,[1,25,0
]);\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "1 1 0
" 0 }{VIEWOPTS 1 1 0 3 2 1804 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }