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