matrix Lorentz transformation
More generally, the covariant components of a 4-vector transform according to the inverse Lorentz transformation:





T


μ
′



=

Λ


μ
′







ν



T

ν


,


{\displaystyle T_{\mu '}=\Lambda _{\mu '}{}^{\nu }T_{\nu },}


where 




Λ


μ
′







ν




{\displaystyle \Lambda _{\mu '}{}^{\nu }}

 is the reciprocal matrix of 




Λ


μ
′







ν




{\displaystyle \Lambda ^{\mu '}{}_{\nu }}

.
