{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 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Comment" 2 18 "" 0 1 0 0 0 0 0 0 0 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 "Heading 1" -1 3 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 8 4 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Ti mes" 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 "" {TEXT -1 18 "Quiz 8 MAT2705 03S" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "with(linalg):" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 42 "1. What are the eigenvalues of the matrix :" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "A:=matrix([[1,2],[2,1] ]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'matrixG6#7$7$\"\"\"\" \"#7$F+F*" }}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 8 "solution" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "eigenvals(A);\neigenvects(A);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6$\"\"$!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$7%!\"\"\"\"\"<#-%'vectorG6#7$F$F%7%\"\"$F%<#-F(6#7$F%F% " }}}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 38 "2. Given that the its eigenv alues are " }{XPPEDIT 18 0 "lambda = -1,-1,2;" "6%/%'lambdaG,$\"\"\"! \"\",$F&F'\"\"#" }{TEXT -1 3 ", w" }{TEXT -1 39 "hat are the eigenvect ors of the matrix:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "A:=ma trix([[2, 0, 3], [-3, -1, -3], [0, 0, -1]]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'matrixG6#7%7%\"\"#\"\"!\"\"$7%!\"$!\"\"F.7%F+F +F/" }}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 8 "solution" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "eigenvals(A);\neigenvects(A);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$\"\"$!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6$7%!\"\"\"\"\"<#-%'vectorG6#7$F$F%7%\"\"$F%<#-F(6#7$F%F%" }}}}}{MARK "0 0 0" 18 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }