- #1

yukcream

- 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

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter yukcream
- Start date

- #1

yukcream

- 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

quantumdude

Staff Emeritus

Science Advisor

Gold Member

- 5,575

- 23

yukcream said:I am not sure wheather

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

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].

Try writing it out explicitly and see if it does.

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

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.

- #3

yukcream

- 59

- 0

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

thanks for help

yuk

- #4

quantumdude

Staff Emeritus

Science Advisor

Gold Member

- 5,575

- 23

yukcream said:It is great that you can understand my notation~ you are so smart!

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:

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

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.

- #5

yukcream

- 59

- 0

yuk yuk

Share:

- Replies
- 2

- Views
- 360

- Last Post

- Replies
- 24

- Views
- 600

- Replies
- 7

- Views
- 571

- Replies
- 35

- Views
- 1K

- Replies
- 27

- Views
- 751

- Replies
- 3

- Views
- 435

- Last Post

- Replies
- 4

- Views
- 770

- Last Post

- Replies
- 2

- Views
- 458

- Last Post

- Replies
- 8

- Views
- 537

- Last Post

- Replies
- 4

- Views
- 341