1.4.14 Matrix transformations

condition: a) Is it true that if the product of matrices \( C^{T} \cdot P^{T} \) is defined, then the product of matrices \( P \cdot C \) is also defined, justify the answer. b) Give an example of cubic matrices \( A \) and \( B \), for which \( A \cdot B \neq B^{T} \cdot A^{T} \).