# Lorentz transformations on spacetime

## 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

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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 )