(2 marks) A is a 2 x 2 matrix with eigenvalue, eigenvector pairs: M= 2, 1. Find an invertible matrix M and a diagonal ma

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2 Marks A Is A 2 X 2 Matrix With Eigenvalue Eigenvector Pairs M 2 1 Find An Invertible Matrix M And A Diagonal Ma 1 (34.63 KiB) Viewed 49 times

(2 marks) A is a 2 x 2 matrix with eigenvalue, eigenvector pairs: M= 2, 1. Find an invertible matrix M and a diagonal matrix D such that A = MDM-¹ <<-1,3>|<-3,1>> Give your answers in Maple notation for matrices, e.g. <<1,3> | <2,4>> or Matrix ([[1,2], [3,4]]) for the matrix An and -1, (1/8)*(<<-11^n,9^n>|<-9^ (-³) AY Pl 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. D= <<2,0><0,-1>> You can write your answer as a scalar multiple of a matrix, e.g (1/7)*(<<1,3> | <2, 4>> or (1/7) *Matrix ([[1,2], [3,4]]) fot +63-(0) 1 (²²). 3 AGI