Unformatted text preview: A n for general n ? Do the entries in the factors approach a limit as n gets larger and larger? 5. True or false : ( a ) The product of two tridiagonal matrices is tridiagonal. ( b ) The inverse of a tridiagonal matrix is tridiagonal. 6. ( a ) ²ind the exact solution to the linear system x-5 y-z = 1 , 1 6 x-5 6 y + z = 0 , 2 x-y = 3 . ( b ) Solve the system using Gaussian Elimination with 4 digit rounding. ( c ) Solve the system using Partial Pivoting and 4 digit rounding. Compare your answers. 7. Implement the computer experiment with Hilbert matrices outlined in the last paragraph of the section. 1 c ° 2006 Peter J. Olver...
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- Fall '09
- Matrices, The Matrix Reloaded, The Matrix Revolutions, Wachowski brothers, Peter J. Olver