4 votes 4 votes $\begin{bmatrix} 2 & 2 & 1 \\ 1 & 3 & 1 \\ 1 & 2 & 2 \end{bmatrix}$ For the above given matrix $A,$ $A^3 -7A^2 +10A = $ $5I+A$ $5I-A$ $A-5I$ $6I$ Linear Algebra go-mockgate-1 engineering-mathematics linear-algebra matrix + – Ruturaj Mohanty asked Dec 27, 2018 • retagged Sep 10, 2020 by ajaysoni1924 Ruturaj Mohanty 958 views answer comment Share Follow See all 5 Comments See all 5 5 Comments reply Show 2 previous comments soumayan bandhu commented Dec 31, 2018 reply Follow Share I also tried that but not working.Can you please send the rough work? 0 votes 0 votes Peeyush Pandey commented Dec 31, 2018 reply Follow Share in diagonal elements put 2-λ, 3-λ, 2-λ respectively then expand the determinant, you will get the answer still if you face any difficulty then comment I will post the answer. 0 votes 0 votes soumayan bandhu commented Dec 31, 2018 reply Follow Share Sorry,I am miscalculated something. 0 votes 0 votes Please log in or register to add a comment.
3 votes 3 votes This is the answer in the picture soumayan bandhu answered Dec 31, 2018 soumayan bandhu comment Share Follow See all 3 Comments See all 3 3 Comments reply Magma commented Dec 31, 2018 reply Follow Share Why put $\lambda = A$ ?? 0 votes 0 votes Peeyush Pandey commented Dec 31, 2018 reply Follow Share Because a matrix satisfies its characteristic equation. 1 votes 1 votes akash.dinkar12 commented Dec 31, 2018 reply Follow Share @Magma Read Cayley–Hamilton theorem 2 votes 2 votes Please log in or register to add a comment.