Chris_Green
New member
- Joined
- Apr 1, 2020
- Messages
- 3
The question word for word says "For any given non-zero 80x80 matrix, you note that this matrix has 6400 cofactors and are told that they are all different. Discuss a method to find the one with the largest absolute value, without computing all of them?"
I'm completely lost. I'm not sure if there is a definitive answer or if the question is hypothetical for the purpose of brainstorming and using creativity to come up with a method. I went over my lecture on determinants multiple times and I am still befuddled on what direction to take. The only lead I have is that I can somehow use Cramer's Rule, but I don't even know if that is correct path. The only method I know for sure is that you would have to use co-factor expansion to get each one to compare, but that would obviously take a gazillion years. Is there something I'm missing that allows me to solve for a specific cofactor of a matrix? Any help at all would be greatly appreciated.
I'm completely lost. I'm not sure if there is a definitive answer or if the question is hypothetical for the purpose of brainstorming and using creativity to come up with a method. I went over my lecture on determinants multiple times and I am still befuddled on what direction to take. The only lead I have is that I can somehow use Cramer's Rule, but I don't even know if that is correct path. The only method I know for sure is that you would have to use co-factor expansion to get each one to compare, but that would obviously take a gazillion years. Is there something I'm missing that allows me to solve for a specific cofactor of a matrix? Any help at all would be greatly appreciated.