1 votes 1 votes If A=$\begin{bmatrix} 1 & 2\\ -1& 3 \end{bmatrix}$ then $\ A^{6} -4A^{5}+8A^{4}-12A^{3}+14A^{2}$=? a)0 b)4A c)4A+5I d)-4A+5I am gettind d Gate Fever asked Jan 3, 2019 Gate Fever 490 views answer comment Share Follow See all 8 Comments See all 8 8 Comments reply Show 5 previous comments Gate Fever commented Jan 3, 2019 reply Follow Share thats what i am saying that option d is correct!! they have given wrong answer!! 0 votes 0 votes ank73811 commented Jan 3, 2019 reply Follow Share You can make use of characteristic equation to simplify the problem which is A^2 - 4A + 5I = 0 0 votes 0 votes Lakshman Bhaiya commented Jan 3, 2019 reply Follow Share @Gate Fever Yes you are right. 0 votes 0 votes Please log in or register to add a comment.