{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 "" -1 256 "" 1 14 0 0 0 0 0 1 0 0 0 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 "Numeric Item" 0 256 1 {CSTYLE "" -1 -1 "" 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 1 }0 0 0 -24 -1 -1 0 0 0 0 0 0 256 4 }{PSTYLE "Test Item" 0 257 1 {CSTYLE "" -1 -1 "" 0 1 101 105 114 0 0 0 0 0 0 0 0 0 0 1 }0 0 0 -50 -1 -1 0 0 0 0 0 0 257 0 }{PSTYLE "R3 Font 0" -1 258 1 {CSTYLE "" -1 -1 "Times" 0 12 255 0 0 1 2 1 2 0 0 0 0 0 0 1 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "R 3 Font 2" -1 259 1 {CSTYLE "" -1 -1 "Courier" 0 10 0 0 0 1 2 1 2 0 0 0 0 0 0 1 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 0 260 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {PARA 260 "" 0 "" {TEXT 256 12 "Determinants" }}{PARA 0 "" 0 " " {TEXT -1 100 "1. The followings demonstrate that how elementary row \+ operations affect the determinant of a matrix." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "with(linalg):\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 44 "A := ra ndmatrix(3,3,entries=rand(-10..10));\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 52 "A := ra ndmatrix(3,3,entries=rand(-10..10));\ndet(A);\n" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 " A1 := swaprow(A,1,3);\ndet(A1);\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "A2 := m ulrow(A,1,3);\ndet(A2);\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "A3 := mulrow(A,1,k);\ndet(A3);\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "A4 := a ddrow(A,1,2,5);\ndet(A4);\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "A5 := addrow(A,1,2,t);\ndet(A5);\n" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}}}{MARK "16" 0 }{VIEWOPTS 1 1 0 3 2 1804 1 1 1 1 } {PAGENUMBERS 0 1 2 33 1 1 }