Let and (a) Compute cond (A). (b) Suppose A is changed to How large a relative change

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Let 10 10 %3D 10 9.

and 100 b = 99

(a) Compute condˆž (A).

(b) Suppose A is changed to

How large a relative change can this change produce in the solution to Ax = b?

(c) Solve the systems using A and A' and determine the actual relative error.

(d) Suppose b is changed to 

How large a relative change can this change produce in the solution to Ax = b?

(e) Solve the systems using b and b' and determine the actual relative error.

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