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Unexpected result calculating the determinant of a singular matrix (42S)
10-23-2019, 07:01 AM
Post: #25
RE: Unexpected result calculating the determinant of a singular matrix (42S)
(10-23-2019 04:50 AM)Valentin Albillo Wrote:  But try instead with AM#7, a matrix of the same dimensions (7x7) and similarly-sized integer elements, as detailed in my article

Mean Matrices
, under "Can it get any worse ?"

Still works..
This time the condition number is about 7e12, and the determinant can be expected to be correct to about 2 digits: .998918882 with F-54 Set.
With F-54 Clear, it's 1 exactly, of course.
A 7x7 matrix with integer elements less than 100 and determinant 1 will always have at least 1 digit correct when the calculations are done with 15 digits, and so the rounding will work.

Now, Valentin, I have always wondered how you created these matrices, and I've asked you once before (a very long time ago, admittedly). Can you shed some light on this?

Cheers, Werner
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RE: Unexpected result calculating the determinant of a singular matrix (42S) - Werner - 10-23-2019 07:01 AM



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