errata - turns-4 . 4409 e-016 for det( A ) . Sec. 7.4, p. 7...

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ERRATA IN THE CLASS NOTES KIAM HEONG KWA Sec. 2.1, p. 1 Add the following before example 1. Warning! The MATLAB function det( A ) may return inaccu- rate results due to round-off error. For instance, the matrix A = 1 2 3 3 2 1 1 1 1 has the row reduced echelon form 1 0 - 1 0 1 2 0 0 0 and thus det( A ) = 0 . Nevertheless, the MATLAB function det( A ) may return nonzero numerical values. On my machine, MATLAB re-
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Unformatted text preview: turns-4 . 4409 e-016 for det( A ) . Sec. 7.4, p. 7 In the last paragraph right before example 5, replace k x kk x k with k x k k x k :-A is ill conditioned means small k A k k A k may imply large k x k k x k .-A is well conditioned means small k A k k A k always imply small k x k k x k . Date : July 13, 2011. 1...
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This note was uploaded on 11/11/2011 for the course MATH 571 taught by Professor Kim during the Summer '08 term at Ohio State.

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