3 ms·
> It certainly is not true that, for a matrix of any size, computing the determinant is a good method for checking whether a matrix is invertible. Can you expl
by shitlord 13y ago
> It certainly is not true that, for a matrix of any size, computing the determinant is a good method for checking whether a matrix is invertible.
Can you explain this part? I don't understand what you mean, and I have an Advanced Linear Algebra final in a few days, so I should probably know this stuff.
I thought the determinant was not defined for non-square matrices. Also, I thought that inverses only existed for square matrices (implying that the determinant check is a good way of testing invertability).
- Steuard 13y agoIt's a valid way to test whether a (square) matrix has an inverse, but computing big determinants is a lot of effort (both from a "student work" perspective and from a "computational cost" perspective). The point is that in many cases, there are enormously more efficient ways to find an inverse (or, more generally, to solve matrix problems with inverses in them).
- shitlord 13y agoOh, okay. Thanks for the clarification.