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2. Consider using the LU-decomposition to solve k linear systems Ax= b(i),i=1,,k with the same mm system matrix A, but different right-hand side vectors b(i),i=1,,k.

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2. Consider using the LU-decomposition to solve k linear systems Ax= b(i),i=1,,k with the same mm system matrix A, but different right-hand side vectors b(i),i=1,,k. Assume that k=2m. Can all k systems be solved with a total of O(m3) operations? If so, explain how. If not, explain why not. 2. Consider using the LU-decomposition to solve k linear systems Ax= b(i),i=1,,k with the same mm system matrix A, but different right-hand side vectors b(i),i=1,,k. Assume that k=2m. Can all k systems be solved with a total of O(m3) operations? If so, explain how. If not, explain why not

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