1 votes 1 votes Let A be n*n matrix,$A^{n}$ = $A^{n-1}$ for n>=1 and $A^{0}$=I,Which of following is true? a.$A^{m}$ .$A^{n}$ =$A^{m+n}$ b. $($A^{m}$)^{n}$=$A^{mn}$$ c. both a and b c none Linear Algebra engineering-mathematics linear-algebra + – rahul sharma 5 asked Jun 25, 2017 rahul sharma 5 319 views answer comment Share Follow See all 5 Comments See all 5 5 Comments reply Show 2 previous comments rahul sharma 5 commented Jun 26, 2017 reply Follow Share Can you please tell again how are you saying this is non singular? 0 votes 0 votes erh commented Jun 26, 2017 reply Follow Share because I is non singular 0 votes 0 votes rahul sharma 5 commented Jun 26, 2017 reply Follow Share But what about other matrices ?How can i be sure that the set of these matrices is non singular? 0 votes 0 votes Please log in or register to add a comment.