Question: 15. (2 marks) T=22-1 1 (a) Compute the eigenvalues for T. (b) Compute eigenvector(s) corresponding to the eigenvalue(s) you found in part (a). (c)

15. (2 marks) T=22-1 1 (a) Compute the eigenvalues for T. (b)

15. (2 marks) T=22-1 1 (a) Compute the eigenvalues for T. (b) Compute eigenvector(s) corresponding to the eigenvalue(s) you found in part (a). (c) Is T diagonalisable? If yes, write down an invertible matrix P and a diagonal matrix D so that T PDP. If no, give a reason. Show all steps of your working, and explanations for each part.

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