Линейная алгебра. Постникова Л.С - 27 стр.

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27
11.
Axxxxxx
Bxx xxx
Cxxxxxx
x
x
x
=−
=−
=−
(,,)
(, )
(,,)
65432 0
65432
65432 0
1231
23
12 123
123123
2
12.
Axx xxx
Bxxxxx
Cxxxxxx
x
x
x
=−
=−
=−
(,,)
(,,)
(,,)
54322
5442 1
5432
12 1
2
3
2
12312
123123
13.
Axxxxxx
Bxxxxxx
Cxxxx
x
x
x
=− +
=− +
=− +
(,,)
(,,)
(,,)
432 2
432 2
432 2
1231
2
23
123123
12 12
14.
Axxxxxx
Bxx xx
Cxxxxxx
x
x
x
=++
=++
=++
(,,)
(,,)
(,, )
32 0 23
3210 23
32 0 23
123
1
2
3
12
1
2
1231
2
23
15.
Axxxxx
Bxx xxx
Cxxxxxx
x
x
x
=−
=−
=−
(, , )
(, , )
(, , )
12 3
1
2
12
2
3
1
2
12 3 1 2 3
23 4 5
23 4 5
23 4 5
16.
Axxxxxx
Bxxxxxx
Cxxxxx
x
x
x
=+
=+
=+
(,, )
(,, )
(,, )
2234
2234
2234
123
2
1
2
3
123
1
2
3
1231 2
17.
Axxxxxx
Bxxxxx
Cxx xxxx
x
x
x
=+ +
+
=+ ++
=+++
(, , )
(, , )
(, , )
12 3 1 2 3
12 3 1 2
12
2
31 2 3
23 4 5
23 4 5
23 4 5
18.
Axx xxx
Bxxx
Cxxxxxx
x
x
x
=−
+
+
=−
=− ++
(,, )
(,,)
(,,)
3210 23
32 00
32 0 23
12 123
1
2
23
123123
19.
Axxxxx
Bxxxxx
Cxxxx
x
x
x
=− +
=− +
=− +
(,,)
(,, )
(,,)
223
223
223
1
2
23 2 3
1232 3
1232
                                                       27



       Ax = ( 6 x1 − 5 x2 − 4 x3 ,3 x1 − 2 x2 − x3 ,0 )
11.    Bx = ( 6 x1 − 5 x2 − 4 ,3 x1 − 2 x2 − x3 )
      Cx = ( 6 x1 − 5 x2 − 4 x3 ,3 x1 − 2 x2 − x3 2 ,0 )

       Ax = ( 5 x1 − 4 x2 − 3 ,2 x1 − 2 x2 , x32 )
12.    Bx = ( 5 x1 − 4 x2 − 4 x3 ,2 x1 − x2 ,1 )
      Cx = ( 5 x1 − 4 x2 − 3 x3 ,2 x1 − x2 , x3 )

       Ax = ( 4 x1 − 3 x2 − 2 x3 , x12 , x2 + 2 x3 )
13.   Bx = ( 4 x1 − 3 x2 − 2 x3 , x1 , x2 + 2 x3 )
      Cx = ( 4 x1 − 3 x2 − 2 , x1 , x2 + 2 )

       Ax = ( 3 x1 + 2 x2 + x3 ,0 , x1 − 2 x2 − 3 x3 )
14.    Bx = ( 3 x1 + 2 x2 + 1,0 , x1 − 2 x2 − 3 )
      Cx = ( 3 x1 + 2 x2 + x3 ,0 , x12 − 2 x2 − 3 x3 )

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

       Ax = ( 2 x1 + x2 , x32 ,2 x1 − 3 x2 − 4 x3 )
16.    Bx = ( 2 x1 + x2 , x3 ,2 x1 − 3 x2 − 4 x3 )
      Cx = ( 2 x1 + x2 , x3 ,2 x1 − 3 x2 − 4 )
       Ax = ( x1 , x2 + 2 x3 ,3 x1 + 4 x2 + 5 x3 )
17.    Bx = ( x1 , x2 + 2 x3 ,3 x1 + 4 x2 + 5 )
      Cx = ( x1 , x2 2 + 2 x3 ,3 x1 + 4 x2 + 5 x3 )
      Ax = ( 3 x1 − 2 x2 − 1,0 , x1 + 2 x2 + 3 x3 )
18. Bx = ( 3 x12 − 2 x2 − x3 ,0 ,0 )
    Cx = ( 3 x1 − 2 x2 − x3 ,0 , x1 + 2 x2 + 3 x3 )

       Ax = ( 2 x12 − x2 , x3 ,2 x2 + 3 x3 )
19.    Bx = ( 2 x1 − x2 , x3 ,2 x2 + 3 x3 )
      Cx = ( 2 x1 − x2 , x3 ,2 x2 + 3 )