MATLAB: Picking those matrices whose determinant is greater than 0

for loopfprintfimage analysisimage processingMATLABwhile loop

I have many matrices and I need to pick only those matrices whose determinant is greater than zero. For instance, consider the simple code which generates square matrices and evaluate its determinant. How can i display only those matrices whose determiant is greater than zero.

for i=1:5
    a=rand(i)
    b=det(a)
end

Any help will be appreciated.

Best Answer

WTP?

if b > 0
  disp(a)
end

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MATLAB: Code for determinant.

NO NO NO!!!!!

First, you should not be using the determinant here. I don't know why you think you need to use it. But if you don't understand how to efficiently compute a determinant, the probability is 1 that you should not be using the determinant in the first place. There are far better tools to determine is amatrix issingular, which is why you are surely wanting to compute the determinant of a 24x24 matrix.

Ok, why is the code you wrote a an obscenely bad one? Do you understand that the code you wrote will require O(factorial(24)) computations to execute?

factorial(24)
ans =
      6.20448401733239e+23

Even the largest supercomputer the NSA owns would grind to a miserable halt.

So, CAN you compute the determinant more efficiently? Well, yes. USE DET! (In fact there are ways to compute the determinant efficiently. But since you should not be using it in the first place, I won't go into details.)

So better yet, don't compute the determianant at all. So instead, you need to learn how to use tools like rank, cond or svd to do what you are trying to do. Of course, we don't really yet know what you are doing.

MATLAB: VESSEL PICK

That is too challenging a project for us to answer in a forum like this. Looks more like what people do for a Ph.D. project. In fact I'm sure some have. Have you checked the literature: http://iris.usc.edu/Vision-Notes/bibliography/contentsmedical.html#Medical%20Applications,%20CAT,%20MRI,%20Ultrasound,%20Heart%20Models,%20Brain%20Models

Best Answer

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MATLAB: Code for determinant.

MATLAB: VESSEL PICK

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