Question: QUESTION 5 Given a matrix A = 6 2V3 2V3 7 a) Find all the eigenvalues of A. (3 marks) b) Find a basis for

QUESTION 5 Given a matrix A = 6 2V3 2V3 7 a) Find all the eigenvalues of A. (3 marks) b) Find a basis for the eigenspace corresponding to the largest eigenvalue found in (a). (5 marks) 2 c) Given the basis for the eigenspace corresponding to the smallest eigenvalue is V3 1 i) Is matrix A diagonalizable? Explain your answer. (2 marks) ii) Find non-singular matrix P and diagonal matrix D such that P-'AP = D. (2 marks) d) Find the eigenvalues of AS . (2 marks) Hak Cipta Universiti Teknologi MARA CONFIDENTIAL CONFIDENTIAL 5 CS/FEB2021/MAT423 e) Is matrix A invertible? If so, find eigenvalues of A-1

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