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Suppose that x is the actual solution of Ax = b and that a

Chapter 6, Problem 5E

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QUESTION:

Suppose that ?x ?is the actual solution of ?Ax ?= ?b ?and that a computer arrives at an approximate solution . If cond(?A?) = 100, ?b_ ?= 1, and ||?b – A ||? ?= 0?.?1, obtain upper and lower bounds for ||x ? ? /|? |?x|? |.

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QUESTION:

Suppose that ?x ?is the actual solution of ?Ax ?= ?b ?and that a computer arrives at an approximate solution . If cond(?A?) = 100, ?b_ ?= 1, and ||?b – A ||? ?= 0?.?1, obtain upper and lower bounds for ||x ? ? /|? |?x|? |.

ANSWER:

Solution Step 1 of 3 In this problem, we have to find the upper and lower bounds for ||x /||x||.

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