Lets assume we have a computer that can solve a 100 100 system in 1 second

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Let’s assume we have a computer that can solve a 100 × 100 system in 1 second using Gauss elimination. Estimate the time required to solve the following problems on the same computer. You must indicate the scaling as well as the time.

(a) 1000 × 1000 system using Gauss elimination

(b) 1000 × 1000 system with a band structure p = q = 2 using banded Gauss elimination

(c) The original 100 × 100 system using an iterative method with 10 iterations.

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