{VERSION 2 3 "APPLE_68K_MAC" "2.3" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{CSTYLE "" -1 256 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 } {CSTYLE "" -1 257 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 258 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 259 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 260 "" 0 1 0 0 0 0 0 1 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 }{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 "" 0 256 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 256 "" 0 "" {TEXT -1 39 "Mathematical Infrastruct ure -- Matrices" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 54 "In Maple each row of a ma trix is entered in the form " }{TEXT 256 13 "[a, b, ... c]" }{TEXT -1 115 " with its entries separated by commas and enclosed by square \+ brackets. The entire matrix is entered in the form " }{TEXT 257 17 " [[a, b], [c, d]] " }{TEXT -1 111 "with its rows separated by commas an d enclosed by square brackets. The cell below illustrates this notati on. " }{TEXT 261 16 "Evaluate it now." }{TEXT -1 1 "\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "A := [[1, 2, 3], [4, 5, 6]];" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 118 "M aple uses the usual mathematical notation for adding matrices or multi plying a matrix by a scalar together with the " }{TEXT 258 5 "evalm" }{TEXT -1 40 " procedure as shown in the cell below. " }{TEXT 259 21 " Evaluate the cell no" }{TEXT -1 16 "w. Notice that " }{TEXT 260 5 " evalm" }{TEXT -1 72 " carries out the computations and displays the r esult in a nice format." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 67 "B := [[3, 1, 5], [7, -1, 3]];\neval m(B);\nevalm(A + B);\nevalm(2 * A);" }}}}{MARK "3 0 0" 67 }{VIEWOPTS 1 1 0 1 1 1803 }