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 x5 yz = 1 , 1 6 x5 6 y + z = 0 , 2 xy = 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
 Olver
 Matrices, The Matrix Reloaded, The Matrix Revolutions, Wachowski brothers, Peter J. Olver

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