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Matrix problem, iterative matrix calculation

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Light
Light 2013-6-6
Hello my matrix problem?? I tried it in week. But no success!
Here is the matrix
A=[-1,-1,0,0,0;0,0,0,-1,0;0,1,-1,0,-1;0,0,1,0,0;1,0,0,1,1]
Every column has only one 1, one -1 and i have to add them with whole row. Then that column will be 0. It is the first step.. Result must be like that A matrix must be changed A=[-1,-1,0,0,0;0,0,0,-1,0;0,1,0,0,-1;0,0,0,0,0;1,0,0,1,1] 4th row added to the 3rd row. and 4th elements changed 0
Then that operation will be continued until all row changed 0. I think if i write iterate Code, it will be more easier. But failed, some help!
I couldn't write a CODE. How can i write CODE. Please tell me a CODE or structure...
  1 个评论
David Sanchez
David Sanchez 2013-6-6
your explanation is not clear, could you please rewrite your question in a way it be clearer?

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回答（1 个）

Iain
Iain 2013-6-6
编辑：Iain 2013-6-6
I think you are asking how to make your entire matrix zero, by adding columns of data that already exist.
while any(A) & ~some error
for i = 1:size(A,2) % each column
col = A(:,i);
[plus indp] = max(col);
[nega indn] = min(col);
if ~(nega => 0 || plus =< 0 )
A(row_no,:) = A(indp,:) - A(indn,:)*plus/nega;
end
end
some error = some check for infinite loops etc.
end
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Light
Light 2013-6-6
A=[-1,-1,0,0,0;0,0,0,-1,0;0,1,-1,0,-1;0,0,1,0,0;1,0,0,1,1];
while any(A) & ~ some error
for i = 1:size(A,2) % each column
col = A(:,i);
[plus indp] = max(col);
[nega indn] = min(col);
if ~(nega >= 0 || plus <= 0 )
A(row_no,:) = A(indp,:) - A(indn,:)*plus/nega;
end
end
some error = some check for infinite loops etc.
end
Undefined function or variable 'some'.
:-(
Iain
Iain 2013-6-6
"some error" is psuedocode - you should use it to prevent infinite loops, or any other errors that might arise.
If your sole aim is to set that matrix equal to zero by the simplest means possible, you can simply:
A(:) = 0;

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