0 votes 0 votes If A=$\begin{bmatrix} 8 & 5 & \\ 7& 6 & \end{bmatrix}$ then |$A^{121}$ - $A^{120}$ | is: a) 0 b) 1 c) 120 d) 121 Linear Algebra engineering-mathematics isro-mech linear-algebra + – sh!va asked Mar 7, 2017 edited Mar 7, 2019 by Naveen Kumar 3 sh!va 2.5k views answer comment Share Follow See all 2 Comments See all 2 2 Comments reply mcjoshi commented Mar 7, 2017 reply Follow Share $| A^{121} - A^{120} = |A^{120} (A - I) |$ and $|A - I| = 0$ Hence, (A) option 4 votes 4 votes akash.dinkar12 commented Mar 10, 2017 reply Follow Share |A 121 - A 120 | = A ^ 120(A-I) when U find A-I , U will get 0. thats why A) 0 will be answer 0 votes 0 votes Please log in or register to add a comment.
0 votes 0 votes Ans is 0 take A^120 common A-I have similar row so |A-I|=0 Rameez Raza answered Mar 30, 2017 Rameez Raza comment Share Follow See all 0 reply Please log in or register to add a comment.