How to calculate the determinant of a given matrix of any order n

I haven't tried it myself, but you could try to use the very first hit that Google returns: http://wiki.answers.com/Q/Determinant_of_matrix_in_java

thanks ,i got some hint about how to devise the logic

Edited January 16, 201213 yr by sachin

Bear in mind this isn't the best way of calculating a determinant for a very large matrix.<br>

If you're doing it for non-performance critical stuff, or an exercise, it's fine, but there are better methods for large matrices (available in many maths/linear algebra libs).

what are those methods

Now I have to go digging in the memory banks. :/

I think PLU decomposition, then reading off your determinant by multiplying along the diagonal is faster in most of the cases that you'd care about speed (unless you're calculating determinants for very large numbers of small matrices). But then again I could be entirely talking out my posterior.

There are even tricksier methods, but I can't recall off hand what they are.

If you're just after determinants and don't care about how it's done, I'd highly recommend looking up some kind of linear algebra library or class, as this is the kind of work done in any given language by people much smarter than I am.

If you're interested in the implementation, maybe tell me a little more about what you're doing and I'll see if I can find some relevant resources.