top | item 42107348 (no title) AgentMatt | 1 year ago Can you give some examples for algorithms which aren't obviously logically connected but use the determinant for its nice properties? discuss order hn newest mturmon|1 year ago Two ways to compute the determinant:1) product of eigenvalues2) cofactor expansion (e.g., https://textbooks.math.gatech.edu/ila/determinants-cofactors...)The second is the one I was taught first, in the context of linear system solution, but it does not seem obvious that it would be related to the product of eigenvalues. It’s kind of a weird pile of arithmetic manipulations.
mturmon|1 year ago Two ways to compute the determinant:1) product of eigenvalues2) cofactor expansion (e.g., https://textbooks.math.gatech.edu/ila/determinants-cofactors...)The second is the one I was taught first, in the context of linear system solution, but it does not seem obvious that it would be related to the product of eigenvalues. It’s kind of a weird pile of arithmetic manipulations.
mturmon|1 year ago
1) product of eigenvalues
2) cofactor expansion (e.g., https://textbooks.math.gatech.edu/ila/determinants-cofactors...)
The second is the one I was taught first, in the context of linear system solution, but it does not seem obvious that it would be related to the product of eigenvalues. It’s kind of a weird pile of arithmetic manipulations.