Prove by mathematical induction, (A')n= (An)', where n belongs to N for any square matrix A. Share with your friends Share 2 Ishwarmani answered this Dear Student, Please find below the solution to the asked query: Let Pn: A'n=An'P1:LHS=A'1=A'RHS=A1'=A'⇒LHS=RHSSo, it is true for n=1Let Pk: A'k=Ak' be true for all values of k .....iPk+1=A'k+1=A'k×A'=Ak'×A' From i=A×Ak' AB'=B'A'=Ak+1'Hence, it is true for all values of n Regards 2 View Full Answer
