Matrix with exactly zero determinant has inverse. Is that possible?

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Fidel Souza
Fidel Souza on 27 Feb 2015
Commented: Guillaume on 27 Feb 2015
I'm creating a sparse matrix by MATLAB that is symmetric using the FEM method. The determinant of the matrix is zero (exactly), but the matrix has inverse, and the determinant of the inverse is inf. How it is possible?
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Guillaume
Guillaume on 27 Feb 2015
How do you calculate the determinant and more importantly how do you know it is exactly 0?
Remember that computers store numbers with finite precision and that accumulation errors can make a number appear as zero when it is not.

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