(a) State a suitable numerical method that can be used to determine (i) The largest eigenvalue...

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(a) State a suitable numerical method that can be used to determine (i) The largest eigenvalue (ii) The smallest eigenvalue (b) Given (i) (ii) 2 2 10 M=83 4 (2 marks) 10 4 5 Evaluate the largest eigenvalue and its corresponding eigenvector using an appropriate numerical method. Use x = (102) and iterate until 5th iteration (k=5). Note that A is the first digit of your matrix number and B is the last digit of your matrix number. (10 marks) Validate your answer in Q1(b)(i) with reference to the solution given by the characteristic equation in terms of absolute error. (8 marks) (a) State a suitable numerical method that can be used to determine (i) The largest eigenvalue (ii) The smallest eigenvalue (b) Given (i) (ii) 2 2 10 M=83 4 (2 marks) 10 4 5 Evaluate the largest eigenvalue and its corresponding eigenvector using an appropriate numerical method. Use x = (102) and iterate until 5th iteration (k=5). Note that A is the first digit of your matrix number and B is the last digit of your matrix number. (10 marks) Validate your answer in Q1(b)(i) with reference to the solution given by the characteristic equation in terms of absolute error. (8 marks)