A linear map is termed monomial iff each of its components is monomial in the variables with no two components containing the same variable. #m/def/linalg
Equivalently, the matrix is a ^diagonal transformation1 followed by a permutation.
Clearly a monomial transformation is a Linear isomorphism.
#state/tidy | #lang/en | #SemBr
Footnotes
i.e. a transformation represented by a diagonal matrix. ↩