Линейная алгебра. Теоремы и алгоритмы. Яцкин Н.И. - 567 стр.

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Прил. 1 Коды Maple-процедур 567
----------------------------------------------------------------------------------
= DIAGR
1
⎡
⎣
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎤
⎦
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎥
4
3
2
15
= DIAGR
2
⎡
⎣
⎢
⎢
⎢
⎢
⎢
⎤
⎦
⎥
⎥
⎥
⎥
⎥
8
710
6911
----------------------------------------------------------------------------------
----------------------------------------------------------------------------------
= JS
⎡
⎣
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎤
⎦
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎥
21000000000
02100000000
00210000000
00020000000
00002000000
00000-110000
00000 0-1 1 0 0 0
00000 0 0-1 0 0 0
00000 0 0 0-1 1 0
00000 0 0 0 0-1 0
0000000000-1
----------------------------------------------------------------------------------
----------------------------------------------------------------------------------
= M
1
4
⎡
⎣
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎤
⎦
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎥
000100010
00-10-10000
111-1111-11
000-1000-1-1
-2 -1 -1 2 -1 -1 -2 2 -2
00-10-10000
000000001
000100010
001010000
010001000
100000100
,
Прил. 1                                      Коды Maple-процедур                                              567


          ----------------------------------------------------------------------------------
                                                             ⎡4             ⎤
                                                             ⎢⎢             ⎥⎥
                                                                 3
                                                  DIAGR 1 = ⎢⎢               ⎥⎥
                                                              ⎢⎢ 2            ⎥⎥
                                                               ⎢1        5 ⎥⎦
                                                               ⎣
                                                        ⎡⎢8                       ⎤⎥
                                             DIAGR 2 = ⎢⎢7          10             ⎥⎥
                                                         ⎢⎢                         ⎥
                                                          ⎣6         9        11 ⎥⎦
          ----------------------------------------------------------------------------------
          ----------------------------------------------------------------------------------
                        ⎡2              1    0     0     0     0     0        0          0     0       0⎤
                        ⎢⎢                                                                                ⎥
                         ⎢⎢0            2    1     0     0     0     0        0          0     0       0 ⎥⎥
                                                                                                          ⎥
                          ⎢⎢0           0    2     1     0     0     0        0          0     0       0 ⎥⎥
                           ⎢⎢0          0    0     2     0     0     0        0          0     0       0 ⎥⎥
                            ⎢                                                                             ⎥
                            ⎢⎢0         0    0     0     2     0     0        0          0     0       0 ⎥⎥
                             ⎢                                                                            ⎥
                  JS = ⎢⎢0              0    0     0     0    -1     1        0          0     0       0 ⎥⎥
                             ⎢⎢                                                                           ⎥
                              ⎢0        0    0     0     0     0    -1        1          0     0       0 ⎥⎥
                              ⎢⎢0       0    0     0     0     0     0       -1          0     0       0 ⎥⎥
                               ⎢⎢                                                                         ⎥
                                ⎢0      0    0     0     0     0     0        0         -1     1       0 ⎥⎥
                                ⎢⎢                                                                        ⎥
                                 ⎢⎢0    0    0     0     0     0     0        0          0    -1       0 ⎥⎥
                                  ⎢⎣0                                                                     ⎥
                                        0    0     0     0     0     0        0          0     0      -1 ⎥⎦
          ----------------------------------------------------------------------------------
          ----------------------------------------------------------------------------------




                            ⎡0                0      0        1     0     0         0         1     0⎤
                            ⎢⎢                                                                         ⎥
                             ⎢⎢ 0             0     -1        0    -1     0         0         0     0 ⎥⎥
                                                                                                       ⎥
                              ⎢⎢ 1            1      1       -1     1     1         1        -1     1 ⎥⎥
                               ⎢⎢ 0           0      0       -1     0     0         0        -1    -1 ⎥⎥
                                ⎢                                                                      ⎥
                                ⎢⎢-2         -1     -1        2    -1    -1        -2         2    -2 ⎥⎥
                                 ⎢                                                                     ⎥
                     M 1 = ⎢⎢ 0               0     -1        0    -1     0         0         0     0 ⎥⎥,
                                 ⎢⎢                                                                    ⎥
                        4
                                  ⎢0          0      0        0     0     0         0         0     1 ⎥⎥
                                  ⎢⎢ 0        0      0        1     0     0         0         1     0 ⎥⎥
                                   ⎢⎢                                                                  ⎥
                                    ⎢0        0      1        0     1     0         0         0     0 ⎥⎥
                                    ⎢⎢                                                                 ⎥
                                     ⎢⎢ 0     1      0        0     0     1         0         0     0 ⎥⎥
                                      ⎢⎣ 1                                                             ⎥
                                              0      0        0     0     0         1         0     0 ⎥⎦

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