Show that if \(x\) and \(z\) are positive real numbers and \(y\) is an arbitrary real number, the matrices

form a group under matrix multiplication but the naive group integration measure \(d g=d x d y d z\) is not invariant under left multiplication of the group elements; that is, if \(f(g)\) is a function of the group elements \(g\),

is right invariant.

Transcribed Image Text:

(* 2)