MHB Understanding Determinants of 2 x 2 Matrices

  • Thread starter Thread starter ertagon2
  • Start date Start date
Click For Summary
The discussion centers on the understanding of determinants of 2 x 2 matrices, emphasizing the importance of grasping basic definitions. Participants are encouraged to demonstrate their understanding by showing their work on specific problems. There is a suggestion that if someone struggles with fundamental concepts, they may not be prepared for the class. The conversation highlights the straightforward nature of calculating determinants for 2 x 2 matrices. Mastery of these concepts is deemed essential for success in the subject.
ertagon2
Messages
36
Reaction score
0
Can some1 help me with these?
View attachment 8066
 

Attachments

  • maths62_2.png
    maths62_2.png
    8.7 KB · Views: 115
Physics news on Phys.org
As with your last post most of these are plug-n-chug. Do you even know the basics definitions? How do you define the determinant of a 2 x 2 matrix? It's a simple definition!

And if you can't answer 7 as well then you shouldn't even be in the class.

Please show any work that you have been able to do for these.

-Dan
 
I am studying the mathematical formalism behind non-commutative geometry approach to quantum gravity. I was reading about Hopf algebras and their Drinfeld twist with a specific example of the Moyal-Weyl twist defined as F=exp(-iλ/2θ^(μν)∂_μ⊗∂_ν) where λ is a constant parametar and θ antisymmetric constant tensor. {∂_μ} is the basis of the tangent vector space over the underlying spacetime Now, from my understanding the enveloping algebra which appears in the definition of the Hopf algebra...

Similar threads

  • · Replies 22 ·
Replies
22
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
Replies
13
Views
4K
  • · Replies 14 ·
Replies
14
Views
3K
  • · Replies 13 ·
Replies
13
Views
2K
  • · Replies 0 ·
Replies
0
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 16 ·
Replies
16
Views
2K
  • · Replies 8 ·
Replies
8
Views
3K
Replies
66
Views
7K