Suppose that A-1 and the LU factorization of A have already been determined. How many scalar additions

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Suppose that A-1 and the LU factorization of A have already been determined. How many scalar additions and multiplications are necessary to compute A-1b? Compare this with the number of operations required to solve LUx = b using Algorithm 7.2.2.
Suppose that we have a number of systems to solve with the same coefficient matrix A. Is it worthwhile to compute A-l Explain.
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