Question: Gaussian elimination, the classic algorithm for solving systems of n linear equations in n unknowns, requires about in multiplications, which is the algorithm's basic operation.a

Gaussian elimination, the classic algorithm for solving systems of n linear equations in n unknowns, requires about in multiplications, which is the algorithm's basic operation.a

.

How much longer should you expect Gaussian elimination to work on a system of

1000

equations versus a system of

500

equations?b

.

You are considering buying a computer that is

1000

times faster than the one you currently have. By what factor will the faster computer increase the sizes of systems solvable in the same amount of time as on the old computer?

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