This preview shows page 1. Sign up to view the full content.
Unformatted text preview: A ? (c) For a given u = 1-1 T , represent y in the form of the linear combi-nation of the eigenvectors of Matrix A . (d) Re-dene a new set of input and output variables such that the input output relationship is decoupled (that is, there is no interactions between dierent inputs). (e) Find the inverse mapping from y to u such that you can calculator corre-sponding u from given y . 3. For a given matrix A and its eigenvalues 1 , 2 . . . n , prove that the eigenvalues of A-1 would be 1 / 1 , 1 / 2 , . . . 1 / n if A-1 exists. 1...
View Full Document
This note was uploaded on 03/26/2012 for the course CHEM ENG CEIC at University of New South Wales.