[M] When the right side of an equation Ax = b
Chapter , Problem 20E(choose chapter or problem)
Problem 20E
[M] When the right side of an equation Ax = b is changed slightly—say, to
When A is invertible, the condition number of A, written as cond(A), produces a bound on how large the relative change in x can be:
In Exercises 17–20, solve , and show that the inequality (2) holds in each case. (See the discussion of ill-conditioned matrices in Exercises 41–43 in Section 2.3.)
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