Руководство к решению задач по алгебре. Часть 1. Глушакова Т.Н - 52 стр.

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- 52 -
1)
31...00000
23...00000
........................
00...23100
00...02310
00...00254
00...00065
; 2)
a
a
a
a
1...0000
.....................
00...110
00...011
00...001
;
3)
2...000
...............
0...210
0...121
0...012
; 4)
aa
a
aa
aa
a
+−
−+
+−
+−
+
1...000
11...000
..................
00...10
00...11
00...011
;
5)
52...00000
35...00000
........................
00...35200
00...03520
00...00343
00...00021
; 6)
3...000
...............
0...310
0...231
0...023
;
7)
94...0000
.....................
00...5940
00...0594
00...0059
; 8)
01...0000
.....................
00...1010
00...0101
00...0010
;
                                     - 52 -

   5   6   0   0   0 ... 0       0
   4   5   2   0   0 ... 0       0             a         1             0   0 ...       0       0
   0   1   3   2   0 ... 0       0            −1         a             1   0 ...       0       0
1) 0   0   1   3   2 ... 0       0 ; 2)        0         −1 a              1 ...       0       0 ;
  ... ... ... ... ... ... ... ...              ...       ...         ... ... ...       ...    ...
   0   0   0   0   0 ... 3       2             0         0             0   0 ... −1 a
   0   0   0   0   0 ... 1       3

                                     1 +a       −1               0         ...   0           0
   2   1   0 ... 0
                                     −a       1 +a             −1          ...   0           0
   1   2   1 ... 0
                                       0       −a          1 +a ...              0           0
3) 0   1   2 ... 0 ;            4)                                                                   ;
                                       ...      ...              ...       ...   ...         ...
  ... ... ... ... ...
                                       0         0               0         ... 1 +a          −1
   0   0   0 ... 2
                                       0         0               0         ...   −a        1 +a

   1   2   0   0   0 ... 0       0
   3   4   3   0   0 ... 0       0                                     3     2   0 ... 0
   0   2   5   3   0 ... 0       0                                     1     3   2 ... 0
5) 0   0   2   5   3 ... 0       0 ;                         6) 0            1   3 ... 0 ;
  ... ... ... ... ... ... ... ...                                      ... ... ... ... ...
   0   0   0   0   0 ... 5       3                                     0     0   0 ... 3
   0   0   0   0   0 ... 2       5

   9   5   0   0 ... 0     0                         0     1           0     0 ... 0           0
   4   9   5   0 ... 0     0                         1       0         1     0 ... 0           0
7) 0   4   9   5 ... 0     0 ;                8) 0         1           0     1 ... 0           0 ;
  ... ... ... ... ... ... ...                        ... ... ... ... ... ... ...
   0   0   0   0 ... 4     9                         0       0         0     0 ... 1           0