Question: 2. Consider the matrix 2 L 5 A = -1 2 5 5 U 4 (i) (3 marks) Write down the characteristic polynomial of A.

2. Consider the matrix 2 L 5 A = -1 2 5 5 U 4 (i) (3 marks) Write down the characteristic polynomial of A. (ii) (3 marks) It is known that 3 is an eigenvalue of A. Find all the eigenvalues of A. (iii) (4 marks) Find a basis of the eigenspace associated to each eigenvalue of A

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