Lorentz transformations on spacetime

[helpcometk]

Homework Statement

A3. Show that the Lorentz transformations on a spacetime 4-vector can be written as
x'μ = (Lμν)*(χν)
. Find the matrix L. Prove that (in matrix notation) Lτ gL = g where g is
the Minkowski spacetime metric.

Homework Equations

Any help suggesting at least equations will be appreciated. μ , τ and ν are exponents.

The Attempt at a Solution

 

[tiny-tim]

welcome to pf!

hi helpcometk! welcome to pf!

(try using the X² and X₂ icons just above the Reply box )

Show that the Lorentz transformations on a spacetime 4-vector can be written as
x'μ = (Lμν)*(χν)

you should be able to write out L just by looking at the standard Lorentz transformation equations

(and btw, they're not exponents, they're superscripts, or just indices )

 

[helpcometk]

Thanks for the reply Tim.
Specifically which expressions i have to take into account?

 

[tiny-tim]

The standard Lorentz equations …

the ones with x' y' z' t' on the left and x y z t on the right!