The following linear systems Ax = b have x as the actual solution and x as an

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The following linear systems Ax = b have x as the actual solution and x as an approximate solution. Compute ||x − x||∞ and ||Ax − b||∞
a. 1/2 x1 + 1/3 x2 = 1/63,
1/3 x1 + 1/4 x2 = 1/168,
x = ( 1/7 ,−1/6)t ,
x = (0.142,−0.166)t .
b. x1 + 2x2 + 3x3 = 1,
2x1 + 3x2 + 4x3 = −1,
3x1 + 4x2 + 6x3 = 2,
x = (0,−7, 5)t ,
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Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

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