Rounding inside the computer often has an effect on the result. Assume that your machine has eight

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Rounding inside the computer often has an effect on the result. Assume that your machine has eight significant digits.
(a) Show that the machine will compute (2/3) + ((2/3) - (1/3)) as unequal to ((2/3) + (2/3)) - (1/3). Thus, computer arithmetic is not associative.
(b) Compare the computer's version of (1/3)x + y = 0 and (2/3)x + 2y = 0. Is twice the first equation the same as the second?
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Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

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