Unformatted text preview: eigenvalues e i and Î» i of A satisfy the equation A Â· e i = Î» i e i . (2) (d) Use Mathematica to show that the four eigenvectors are linearly independent and therefore form a basis which spans R 4 . Useful point: The Chop command in Mathemat-ica replaces values smaller than 10-10 with 0 and can be useful for obtaining cleaner output when doing numerical work in Mathematica . (e) Find a 4 Ã— 4 matrix B such that B-1 AB is diagonal. Demonstrate that B-1 AB is diagonal by explicit calculation using Mathematica . Note that the diagonal elements of B-1 AB are the eigenvalues of A ....
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This note was uploaded on 12/29/2011 for the course ENGR 5a taught by Professor Brewer during the Fall '09 term at UCSB.
- Fall '09
- Chemical Engineering