Question: To see why the rank 1 update method works, use MATLAB to compute and compare Cy and b + cu Prove that if all computations

To see why the rank 1 update method works, use MATLAB to compute and compare
Cy and b + cu
Prove that if all computations had been carried out in exact arithmetic these two vectors would be equal. Also compute
Cz and (l + d)u
Prove that if all computations had been carried out in exact arithmetic these two vectors would be equal. Use these identities to prove that Cx = b. Assuming that A is nonsingular, will the rank 1 update method always work? Under what conditions could it fail? Explain.

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