What Is the Linear Form of the Lorentz Transformation Equation?

[darkness_limits]

can anybody give me just equation of the transformation in a linear form ? without any complications just the equation of Lt. 10x

 

[Ich]

Lorentz-Boost in x-direction:
x'=g(x-vt)
t'=g(t-vx)
g=sqrt(1-v²)
in units where c=1.

You can add different directions and rotations to obtain the full Lorentz-Transformations, and translations to obtain inhomogenous LT, sometimes called Poincaré Transformations.