Please only help with the question highlighted in red.The matrix A is a 2×2 matrix with eigenvalue, eigenvector pairs: 3, (−2−2)and−2, (−35) 1. Find an invertible matrix M and a diagonal matrix D such that A=MDM−1 . Give your response in list, using Maple notation for matrices, e.g. if your response was the pair of matrices M=(1324),D=(5768) you can enter [ <<1,3>|<2,4>> , <<5,7>|<6,8>> ] [M,D]= [<<-2,-2>|<-3,5>>,<<3,0>|<0,-2>>] Preview 2. For any integer n , find the matrix An as a single matrix (i.e. explicitly entry-by-entry). Use Maple notation for a matrix. You can write your answer as a scalar multiple of a matrix, e.g for 17(1324)=(1/73/72/74/7) you can use (1/7)*<<1,3>|<2,4>> An= (-1/16)*<<-2,-2>|<-3,5>>*<<3^n,0>|<0,(-2)^n>>*<<5,2>|<3,-2>> Preview (Hint: you could compose your answer in Maple to make sure your syntax is correct and your answer is what you think it should be.)
The matrix A is a 2 x 2 matrix with eigenvalue, eigenvector pairs:
and
1. Find an invertible matrix M and a diagonal matrix D such that A = M D M --1
M
you can enter
[<<1,3>|<2,4>><<5,7>|<6,8>>]
[M,D]=
<<-2,-2>|<-3,5>>,<<3,0>|<0,-2>>]
matrix.
1/72/7 you can use 3/7
You can write your answer as a scalar multiple of a matrix,e.g for
(1/7)*<<1,3>|<2,4>>
An
-1/16)*<<-2,-2><-3,5>>*<3^n,0><0,(-2)^n>>*<5,2>|<3,-2>>
(Hint: you could compose your answer in Maple to make sure your syntax is correct and your answer is what you think
it should be.)
