- #1

- 59

- 0

matrix T^v_u = {T^u_v}^-1

or T^v_u = {T^v_u} is true?

T is a lorentz transformation for 4 vector~

Yuk

- Thread starter yukcream
- Start date

- #1

- 59

- 0

matrix T^v_u = {T^u_v}^-1

or T^v_u = {T^v_u} is true?

T is a lorentz transformation for 4 vector~

Yuk

- #2

Tom Mattson

Staff Emeritus

Science Advisor

Gold Member

- 5,500

- 8

In matrix language, that is [itex]T^T=T^{-1}[/itex]. In other words, you are asking if the transpose of [itex]T[/itex] equals the inverse of [itex]T[/itex].yukcream said:I am not sure wheather

matrix T^v_u = {T^u_v}^-1

Try writing it out explicitly and see if it does.

Is there a typo here? Because here you just seem to be asking if [itex]T^{\mu}_{\nu}[/itex] equals itself, unless there is something else implied by the { } braces.or T^v_u = {T^v_u} is true?

- #3

- 59

- 0

It is my fault that I want to ask is T^v_u = {T^v_u} -1?

thanks for help

yuk

- #4

Tom Mattson

Staff Emeritus

Science Advisor

Gold Member

- 5,500

- 8

Your notation is a lot like LaTeX, which is what I used to make my math symbols. So, I'm not really that smart. :tongue2:yukcream said:It is great that you can understand my notation~ you are so smart!!

OK, so now you're asking if [itex]T[/itex] is equal to its own inverse. Again, try to write down the matrix and see if that is so.It is my fault that I want to ask is T^v_u = {T^v_u} -1?

- #5

- 59

- 0

yuk yuk

- Last Post

- Replies
- 0

- Views
- 1K

- Last Post

- Replies
- 6

- Views
- 4K

- Last Post

- Replies
- 2

- Views
- 1K

- Last Post

- Replies
- 3

- Views
- 2K

- Last Post

- Replies
- 0

- Views
- 895

- Last Post

- Replies
- 1

- Views
- 854

- Last Post

- Replies
- 1

- Views
- 1K

- Last Post

- Replies
- 6

- Views
- 2K

- Last Post

- Replies
- 33

- Views
- 1K

- Last Post

- Replies
- 4

- Views
- 314