(6) (a) Use the software for solving linear systems that was introduced in the recitation to solve the linear system, Ax = b, and estimate the condition number of A, where [0.1 0.2 0.3 A= 0.4 0.5 0.6 b = [0.1] 0.3 ' 0.7 0.8 0.9 0.5 (b) What is the estimate of Cond(A)? Based on the size of the condition number, how would you describe the linear system? (c) How many digits of accuracy do you expect the computed solution to have? Justify your answer. Note that this computation is performed using single precision arithmetic.

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