10. Let the following matrix: (i) Compute the characteristic roots (eigenvalues) of this matrix (6 marks) 16 |H| defines

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10 Let The Following Matrix I Compute The Characteristic Roots Eigenvalues Of This Matrix 6 Marks 16 H Defines 1 (20.24 KiB) Viewed 44 times

10. Let the following matrix: (i) Compute the characteristic roots (eigenvalues) of this matrix (6 marks) 16 |H| defines a Hessian determinant, then classify the corresponding stationary point. (4 marks) (ii) Compute the characteristic vectors (eigenvectors) of matrix H, normalising the solution for V/v = 1 for both vectors i = 1.2. (8 marks) (iv) Following the process of diagonalisation of the symmetric matrix, H. verify that the elements in the principal diagonal of a diagonal matrix, R, are the eigenvalues of the matrix, H (8 marks) (V) Without deriving its determinant, comment on whether the matrix, H, is singular or nonsingular (4 marks)