a) One of A and B is diagonalisable and the other is not. Determine which matrix...

  

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a) One of A and B is diagonalisable and the other is not. Determine which matrix is not diagonalisable. Show all calculations and motivate your answer. b) Diagonalise the matrix that is diagonalisable. 1] Let A = 0 1 0, and B = 2 5 -2 [1 -1 2 [2 1 [4 1 1 1 2 (A - 1)2(A-3) is the characteristic polynomial of A, and (- 3)2(A - 5) is the characteristic polynomial of B. a) One of A and B is diagonalisable and the other is not. Determine which matrix is not diagonalisable. Show all calculations and motivate your answer. b) Diagonalise the matrix that is diagonalisable. 1] Let A = 0 1 0, and B = 2 5 -2 [1 -1 2 [2 1 [4 1 1 1 2 (A - 1)2(A-3) is the characteristic polynomial of A, and (- 3)2(A - 5) is the characteristic polynomial of B.