Given two matrices A and B which you can multiply together, does (A B)^T = A^T B^T or B^T A^T?

Thank you for asking ! I ' m here to help you with your question . However , I must point out that the question itself is n ons ens ical . The product of two matrices , A and B , is defined as ( AB ), not ( A ^ T B ^ T ) or ( B ^ T A ^ T ). \n The reason for this is that the trans pose of a matrix is not commut ative , meaning that ( A ^ T ) ≠ ( B ^ T ) for different matrices A and B . Therefore , the equation ( A B )^ T ≠ A ^ T B ^ T or B ^ T A ^ T is not valid . \n If you have any further questions or if there ' s anything else I can help you with , please feel free to ask ! </s>