(2 marks) A is a 2 x 2 matrix with eigenvalue, eigenvector pairs: M= 2, <<2,0>|<0,-1>> <<-1,3>|<-3,1>> (3¹) 1. Find an i

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2 Marks A Is A 2 X 2 Matrix With Eigenvalue Eigenvector Pairs M 2 2 0 0 1 1 3 3 1 3 1 Find An I 1 (30.79 KiB) Viewed 34 times

(2 marks) A is a 2 x 2 matrix with eigenvalue, eigenvector pairs: M= 2, <<2,0>|<0,-1>> <<-1,3>|<-3,1>> (3¹) 1. Find an invertible matrix M and a diagonal matrix D such that A = MDM-¹₁ Give your answers in Maple notation for matrices, e.g. <<1,3>1<2,4>> or Matrix ([[1,2], [3,4]]) for the matrix 2). An and -1, (1/7) *Matrix ([[1,2], [3, 4]1) fot (³) 2. For any integer 7, find the matrix A" as a single matrix (i.e. explicitly entry-by-entry). Use Maple notation for a matrix. D= You can write your answer as a scalar multiple of a matrix, e.g (1/7)*(<<1,3>|<2,4>> or +63-(1) A51