Assume we have the following a system of linear equation.  x1 - 2x2 = 3 3x1 - 4x2 = 7 Then the exact solution is xTS = (1,−1). Let an approximate solution xNS =(−1,−1). Then, fill the following blank by rounding in four decimal places.   relative residual (= relative backward error) =  relative error (= relative forward error) =  error magnification factor =  The condition number =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Assume we have the following a system of linear equation. 

x1 - 2x2 = 3

3x1 - 4x2 = 7

Then the exact solution is xTS = (1,−1). Let an approximate solution xNS =(−1,−1).

Then, fill the following blank by rounding in four decimal places.

 

relative residual (= relative backward error) = 

relative error (= relative forward error) = 

error magnification factor = 

The condition number = 

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