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Solved: [M] When the right side of an equation Ax = b is
Chapter , Problem 18E(choose chapter or problem)
[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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QUESTION:
[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.)
ANSWER:Solution 18EStep 1 of 4Write the matrices, Use the following Matlab commands to solve Enter the matrices:>> A=[4.5 3.1 ; 1.6 1.1]A =4.5000 3.10001.6000 1.1000>> b=[0.500; -1.407]b =0.5000-1.4070>> deltab=[0.001;-0.003]deltab =0.0010-0.0030