Matrices En Mathematica

Páginas: 20 (4828 palabras) Publicado: 21 de febrero de 2013
2 1 2 3 2 2 3 2

1 2 3 2 5 6 3 6

2 3 6 5 4 8 8 9

1 1 5 6 6 9 8 9

8 5 3 2 1 5 8 9

5 2 3 6 9 4 7 5

2 1 2 2 8 9 9 5

2 3 2 1 2 3 2 1

8 6 7 8 4 5 2 1

RowReduce

2 1 2 3 2 2 3 2

1 2 3 2 5 6 3 6

2 3 6 5 4 8 8 9

1 1 5 6 6 9 8 9

8 5 3 2 1 5 8 9

5 2 3 6 9 4 7 5

2 1 2 2 8 9 9 5

2 3 2 1 2 3 2 1

8 6 7 8 4 5 2 1 25 483 ,

18 505 1, 0, 0, 0, 0, 0, 0, 0, 11233 5732 , 0, 1, 0, 0, 0, 0, 0, 0,

11 233 12 461 0, 0, 1, 0, 0, 0, 0, 0, , 0, 0, 0, 1, 0, 0, 0, 0, , 11 233 11 233 6709 12 208 0, 0, 0, 0, 1, 0, 0, 0, , 0, 0, 0, 0, 0, 1, 0, 0, , 11 233 11 233 4356 14 965 0, 0, 0, 0, 0, 0, 1, 0, , 0, 0, 0, 0, 0, 0, 0, 1, 11 233 11 233 18 505 MatrixForm 1, 0, 0, 0, 0, 0, 0, 0, 11 233 5732 0, 0, 1, 0, 0, 0, 0, 0, 11 233 6709 0, 0, 0, 0, 1, 0, 0, 0, 11 233 4356 0,0, 0, 0, 0, 0, 1, 0, 11 233 , 0, 0, 0, 0, 0, 0, 0, 1, 11 233 , 0, 0, 0, 0, 0, 1, 0, 0, 11 233 14 965 , 0, 0, 0, 1, 0, 0, 0, 0, 11 233 12 208 , 12 461 , , 0, 1, 0, 0, 0, 0, 0, 0, 11 233 25 483 ,

2

TALLER DE ALGEGRA MATHEMATICA.nb

1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0
In[11]:=

0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1

18 505 11 233 25483 11 233 5732 11 233 12 461 11 233 6709 11 233 12 208 11 233 4356 11 233 14 965 11 233

Det

a b 0 0 0 0

a 0 b 0 0 0

a 0 0 b 0 0

a 0 0 0 b 0

a 0 0 0 0 b

a a a a a a

RowReduce

a b 0 0 0 0

a 0 b 0 0 0

a 0 0 b 0 0

a 0 0 0 b 0

a 0 0 0 0 b

a a a a a a

18 505
Out[11]=

25 483 , 0, 1, 0, 0, 0, 0, 0, 0, ,

1, 0, 0, 0, 0, 0, 0, 0, 11 233 5732

11 233 12461 0, 0, 1, 0, 0, 0, 0, 0, , 0, 0, 0, 1, 0, 0, 0, 0, , 11 233 11 233 6709 12 208 0, 0, 0, 0, 1, 0, 0, 0, , 0, 0, 0, 0, 0, 1, 0, 0, , 11 233 11 233 4356 14 965 0, 0, 0, 0, 0, 0, 1, 0, , 0, 0, 0, 0, 0, 0, 0, 1, 11 233 11 233
Out[12]=

5 a2 b4

a b5

TALLER DE ALGEGRA MATHEMATICA.nb

3

In[14]:=

1, 0, 0, 0, 0, 0 , 0, 1, 0, 0, 0, 0 , 0, 0, 1, 0, 0, 0 , 0, 0, 0, 1, 0, 0 , 0, 0, 0, 0, 1,0 , 0, 0, 0, 0, 0, 1 MatrixForm 1, 0, 0, 0, 0, 0 , 0, 1, 0, 0, 0, 0 , 0, 0, 1, 0, 0, 0 , 0, 0, 0, 1, 0, 0 , 0, 0, 0, 0, 1, 0 , 0, 0, 0, 0, 0, 1 1, 0, 0, 0, 0, 0 , 0, 1, 0, 0, 0, 0 , 0, 0, 1, 0, 0, 0 , 0, 0, 0, 1, 0, 0 , 0, 0, 0, 0, 1, 0 , 0, 0, 0, 0, 0, 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1

Out[14]=

Out[15]//MatrixForm=

Minors Det

a b 0 0 0 0

a 0b 0 0 0

a 0 0 b 0 0

a 0 0 0 b 0

a 0 0 0 0 b

a a a a a a

Minors 5 a2 b4

a b5

In[1]:=

Det

2 0 1 1 3

2 0 1 1 3

2 0 1 1 3

1 1 1 1 4

1 1 1 2 4

Out[1]=

0 2 0 1 1 3 2 0 1 1 3 2 0 1 1 3 1 1 1 1 4 1 1 1 2 4

Minors Det

In[2]:=

RowReduce

2 0 1 1 3

2 0 1 1 3

2 0 1 1 3

1 1 1 1 4

1 1 1 2 4

4

TALLER DE ALGEGRA MATHEMATICA.nb

In[3]:=1, 1, 1, 0, 0 , 0, 0, 0, 1, 0 , 0, 0, 0, 0, 1 , 0, 0, 0, 0, 0 , 0, 0, 0, 0, 0 MatrixForm 1, 1, 1, 0, 0 , 0, 0, 0, 1, 0 , 0, 0, 0, 0, 1 , 0, 0, 0, 0, 0 , 0, 0, 0, 0, 0 1, 1, 1, 0, 0 , 0, 0, 0, 1, 0 , 0, 0, 0, 0, 1 , 0, 0, 0, 0, 0 , 0, 0, 0, 0, 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0

Out[3]=

Out[4]//MatrixForm=

4 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0

1 4 1 0 0 1 0 0 0 0 0 0 0 0 0 00 1 4 1 0 0 1 0 0 0 0 0 0 0 0 0

0 0 1 4 0 0 0 1 0 0 0 0 0 0 0 0

1 0 0 0 4 1 0 0 1 0 0 0 0 0 0 0

0 1 0 0 1 4 1 0 0 1 0 0 0 0 0 0

0 0 1 0 0 1 4 1 0 0 1 0 0 0 0 0

0 0 0 1 0 0 1 4 0 0 0 1 0 0 0 0

0 0 0 0 1 0 0 0 4 1 0 0 1 0 0 0

0 0 0 0 0 1 0 0 1 4 1 0 0 1 0 0

0 0 0 0 0 0 1 0 0 1 4 1 0 0 1 0

0 0 0 0 0 0 0 1 0 0 1 4 0 0 0 1

0 0 0 0 0 0 0 0 1 0 0 0 4 1 0 0

0 0 0 0 0 00 0 0 1 0 0 1 4 1 0

0 0 0 0 0 0 0 0 0 0 1 0 0 1 4 1

0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 4

Inverse

4 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 337

1 4 1 0 0 1 0 0 0 0 0 0 0 0 0 0 ,

0 1 4 1 0 0 1 0 0 0 0 0 0 0 0 0 251 ,

0 0 1 4 0 0 0 1 0 0 0 0 0 0 0 0 1

1 0 0 0 4 1 0 0 1 0 0 0 0 0 0 0 ,

0 1 0 0 1 4 1 0 0 1 0 0 0 0 0 0 ,

0 0 1 0 0 1 4 1 0 0 1 0 0 0 0 0

0 0 0 1 0 0 1 4 0 0 0 1 0 0 0...
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