Practica 2 Elt 256.docx

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LLEVAR A LA FORMA REDUCIDA:

1 𝐴=2 3

>> A=[1 2 -1;2 4 2;3 4 -7] A= 1

2 -1

2

4

3

4 -7

2

>> A(2,:)=A(2,:)-2*A(1,:) A= 1

2 -1

0

0

3

4 -7

4

>> A(3,:)=A(3,:)-3*A(1,:) A= 1

2 -1

0

0

4

0 -2 -4 >> A(3,:)=A(3,:)+A(2,:) A= 1

2 -1

0

0

4

0 -2

0

>> A(1,:)=A(1,:)+A(3,:)

2 −1 4 2 4 −7

1 2 3 𝐵 = 0 −3 1 4 1 −2

>> B=[1 2 3;0 -3 1;4 1 -2] B= 1

2

3

0 -3

1

4

1 -2

>> B(3,:)=B(3,:)-4*B(1,:) B= 1

2

3

0 -3

1

0 -7 -14 >> format rat >> B(2,:)=( -1/3)*B(2,:) B=

1

2

3

0

1

-1/3

0

-7

-14

>> B(3,:)=B(3,:)+7*B(2,:)

B= 1

2

3

0

1

-1/3

0

0

-49/3

>> B(3,:)=(-3/49)*B(3,:)

B= 1

2

3

0

1

-1/3

0

0

1

>> B(1,:)=B(1,:)-3*B(3,:)

B=

1

2

0

0

1

-1/3

0

0

1

>> B(2,:)=B(2,:)+(1/3)*B(3,:)

B= 1

2

0

0

1

0

0

0

1

>> B(1,:)=B(1,:)-2*B(2,:)

B= 1

0

0

0

1

0

0

0

1

2 −1 4 𝐶 = 1 2 −3 4 3 −2

>> C=[2 -1 4;1 2 -3;4 3 -2] C= 2

-1

4

1

2

-3

4

3

-2

>> C(1,:)=1/2*C(1,:) C=

1

-1/2

2

1

2

-3

4

3

-2

>> C(2,:)=C(2,:)-C(1,:) C= 1

-1/2

2

0

5/2

-5

4

3

-2

>> C(3,:)=C(3,:)-4*C(1,:) C= 1

-1/2

2

0

5/2

-5

0

5

-10

>> C(2,:)=2/5*C(2,:) C= 1

-1/2

2

0

1

-2

0

5

-10

>> C(1,:)=C(1,:)+1/2*C(2,:)

C=

1

0

1

0

1

-2

0

5

-10

>> C(3,:)=C(3,:)-5*C(2,:)

C=

1

0

1

0

1

-2

0

0

0

>> C(:,3)=C(:,3)+2*C(:,2)

C=

1

0

1

0

1

0

0

0

0

>> C(:,3)=C(:,3)-C(:,1)

C=

1

0

0

0

1

0

0

0

0

A=

1

0 -1

0

0

4

0 -2

0

>> A(:,3)=A(:,3)+A(:,1)

A=

1

0

0

0

0

4

0 -2

0

>> A(2,:)=1/4*A(2,:)

A=

1

0

0

0

0

1

0 -2

0

>> A(3,:)=(-1/2)*A(3,:)

A=

1

0

0

0

0

1

0

1

0

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