
#19
Mar1605, 09:35 AM

PF Gold
P: 1,236

I tried coming up with general number of operations you'd perform with either method to determine which is faster, and I just dont have time right now..
matt, which one is faster  augmented matrix or adjoint/determinant method? Ive counted about 47 operations on adj/det method, and I'm guessing there is more in augmented method 



#20
Mar1705, 09:03 PM

P: 534





#21
Mar1705, 09:06 PM

P: 534





#22
Mar1705, 11:59 PM

P: 998

Not equal to zero and invertible mean the same thing for elements of a field~




#23
Mar1805, 04:23 AM

Sci Advisor
HW Helper
P: 9,398

But we aren't dealing with a field. Invertible is indeed the correct term.




#24
Mar1805, 05:49 AM

Emeritus
Sci Advisor
PF Gold
P: 16,101

For example, an integer matrix has an integer inverse if and only if its determinant is 1 or 1  because those are the only invertible integers!




#25
Mar1805, 12:11 PM

P: 534

ah... that makes sense.



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