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4. Consider solving Ax = b. We have two approximate solutions and as follows. =( A = 0.780 0.563 0.913 0.659 " b = The exact solution is x = [1, -1]T. residual vectors = Ax – b and 0.217 0.254 2 x = 0.999 -1.001 x = 0.341 -0.087 Compute the error e = x - x and ê= -x, and the Ab. Discuss the implication of this example.

4. Consider solving Ax = b. We have two approximate solutions and as follows. =( A = 0.780 0.563 0.913 0.659 " b = The exact solution is x = [1, -1]T. residual vectors = Ax – b and 0.217 0.254 2 x = 0.999 -1.001 x = 0.341 -0.087 Compute the error e = x - x and ê= -x, and the Ab. Discuss the implication of this example.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4. Consider solving Ax = b. We have two approximate solutions and as follows. A = 0.780 0.563 0.913 0.659, b = 0.217 0.254 0.341 -0.087 x 0.999 -1.001, = = The exact solution is x = [1, -1]T. Compute the error ẽ x - x and ê x residual vectors = Ax - b and = A - b. Discuss the implication of this example. - x, and the
Transcribed Image Text:4. Consider solving Ax = b. We have two approximate solutions and as follows. A = 0.780 0.563 0.913 0.659, b = 0.217 0.254 0.341 -0.087 x 0.999 -1.001, = = The exact solution is x = [1, -1]T. Compute the error ẽ x - x and ê x residual vectors = Ax - b and = A - b. Discuss the implication of this example. - x, and the
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