Griffiths Introduction to Elementary Particles · Problem 3.6

Symmetries — David J. Griffiths

Physics — QFT · lorentz-transformations-matrix

Problem

Find the matrix

\mathbf{M}

that inverts equation (3.11):

x^\mu = M^\mu_\nu x^{\prime\nu}

[use eq. (3.3)]. Show that

\mathbf{M}

is the matrix inverse of

\Lambda

\Lambda \mathbf{M} = \mathbf{1}