Линейная алгебра. Постникова Л.С - 26 стр.

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26
2.
Axxxxxx
Bxxxxx
Cxxxxxxx
x
x
x
=−
+
=− +
=− +
(,,)
(,,)
(,,)
5432 2
5430 2
5432 2
123122
1232
4
3
1231223
3.
Axxxxxxx
Bxxxxxxx
Cxxxxxx
x
x
x
=− ++
=− ++
=− ++
(,,)
(,,)
(,,)
432 2 3
432 23
432 23
123112
4
3
1231123
123112
4.
Axxxxxxx
Bxxxxx
Cxxxxxxx
x
x
x
=++
=++
=++
(,, )
(,,)
(,, )
32 234
32 1234
32 2 34
12331
2
3
12312
12331
4
23
5.
Axxx xx
Bxxxxx xx
Cxxxxxxx
x
x
x
=−
=−
=−
(, , )
(, , )
(, , )
11 2 1
2
11 2 3 1
4
23
11 2 3 1 2 3
23456
234 56
23456
6.
Axxxxxxx
Bxxxxxxx
Cxxx xx
x
x
x
=+
=+
=+
(,, )
(,, )
(,, )
22345
22345
22345
122 31 2
2
3
122 31 2 3
122 1 2
7.
Axxxxxx x
Bxxx xx
Cxxxxx xx
x
x
x
=++ ++
=++++
=++ ++
(, , )
(, , )
(, , )
11 2 3 1
2
3
11 2 1 2
11 2 3 1
4
23
23456
23456
234 56
8.
Axxxxx
Bxxxxxx
C x x xxx x x
x
x
x
=− ++
=− ++
=− ++
(,,)
(,, )
(,,)
32 1 23
32 0 23
32 23
1231
2
1231
3
23
1233123
9.
A x xxx x x
B x xxx x x
Cxxxx
x
x
x
=− ++
=− ++
=− ++
(,, )
(,, )
(,, )
223
223
2123
1231
2
3
4
1231 2 3
121 2
10.
Axxxxxxx
Bxxx xx
Cxx xx
x
x
x
=++++
=++++
=++
(, , )
(, , )
(,, )
31 2 31
23
31 2 1 2
31
4
23
234567
234567
05 6 7
                                                      26


      Ax = ( 5 x1 − 4 x2 − 3 x3 ,2 x1 − x2 , x2 + 2 )
2. Bx = ( 5 x1 − 4 x2 − 3 x3 ,0 , x24 + 2 x3 )
      Cx = ( 5 x1 − 4 x2 − 3 x3 ,2 x1 − x2 , x2 + 2 x3 )
       Ax = ( 4 x1 − 3 x2 − 2 x3 , x1 , x1 + 2 x24 + 3 x3 )
3.    Bx = ( 4 x1 − 3 x2 − 2 x3 , x1 , x1 + 2 x2 + 3 x3 )
      Cx = ( 4 x1 − 3 x2 − 2 x3 , x1 , x1 + 2 x2 + 3 )

       Ax = ( 3 x1 + 2 x2 + x3 , x3 ,2 x1 − 3 x2 − 4 x3 )
4.    Bx = ( 3 x1 + 2 x2 + x3 ,1,2 x1 − 3 x2 − 4 )
      Cx = ( 3 x1 + 2 x2 + x3 , x3 ,2 x14 − 3 x2 − 4 x3 )

       Ax = ( x1 , x1 − 2 x2 − 3 ,4 x1 − 5 x2 − 6 )
5.    Bx = ( x1 , x1 − 2 x2 − 3 x3 ,4 x14 − 5 x2 − 6 x3 )
      Cx = ( x1 , x1 − 2 x2 − 3 x3 ,4 x1 − 5 x2 − 6 x3 )

       Ax = ( 2 x1 + x2 , x2 − 2 x3 ,3 x1 − 4 x22 − 5 x3 )
6.    Bx = ( 2 x1 + x2 , x2 − 2 x3 ,3 x1 − 4 x2 − 5 x3 )
      Cx = ( 2 x1 + x2 , x2 − 2 ,3 x1 − 4 x2 − 5 )

       Ax = ( x1 , x1 + 2 x2 + 3 x3 ,4 x1 + 5 x2 + 6 x3 )
7.    Bx = ( x1 , x1 + 2 x2 + 3 ,4 x1 + 5 x2 + 6 )
      Cx = ( x1 , x1 + 2 x2 + 3 x3 ,4 x14 + 5 x2 + 6 x3 )

       Ax = ( 3 x1 − 2 x2 − x3 ,1, x1 + 2 x2 + 3 )
8.    Bx = ( 3 x1 − 2 x2 − x3 ,0 , x13 + 2 x2 + 3 x3 )
      Cx = ( 3 x1 − 2 x2 − x3 , x3 , x1 + 2 x2 + 3 x3 )

       Ax = ( 2 x1 − x2 , x3 , x1 + 2 x2 + 3 x34 )
9.    Bx = ( 2 x1 − x2 , x3 , x1 + 2 x2 + 3 x3 )
      Cx = ( 2 x1 − x2 ,1, x1 + 2 x2 + 3 )

        Ax = ( x3 ,2 x1 + 3 x2 + 4 x3 ,5 x1 + 6 x2 + 7 x3 )
10.     Bx = ( x3 ,2 x1 + 3 x2 + 4 ,5 x1 + 6 x2 + 7 )
        Cx = ( x3 ,0 ,5 x14 + 6 x2 + 7 x3 )