Summary: For a given a positive integer \(m\), we consider the multiplicative order of upper and lower triangular matrices and symmetric matrices derived from Pascal’s triangle when read modulo \(m\). We also consider the corresponding problems when the binomial coefficients, \(\binom{i}{j}\), are replaced by \(x^{i-j}\binom{i}{j}\) and \(x^{i+j}\binom{i}{j}\), where \(x\) is an integer satisfying certain divisibility hypotheses. We also offer some open conjectures on these orders.