The function golub in the NCM directory is named after Stanford professor Gene Golub. The function generates test matrices with random integer entries. The matrices are very badly conditioned, but Gaussian elimination without pivoting fails to produce the small pivots that would reveal the large condition number.

(a) How does condest(golub(n)) grow with increasing order n? Because these are random matrices you can’t be very precise here, but you can give some qualitative description.

(b) What atypical behavior do you observe with the diagonal pivoting option in lugui(golub(n))?

(c) What is det(golub(n))? Why?

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Which of the following story descriptions most directly shares themes with the passage above

Identify the trade regulation concept described in each scenario. protectionism free trade trade war country a and country b want to develop their respective export markets. both countries have highly developed agricultural, industrial, and service sectors. the countries decide to initially lower trade barriers and eventually remove them completely. arrowright country a has an agrarian economy with an emerging industrial sector. to allow domestic industries to grow, country a applies quotas on all industrial products except those that are used as resources. arrowright country a passes an economic policy that will indirectly give its own companies an advantage over country b’s companies. country b alleges that the policy violates the countries’ trade agreement and imposes retaliatory tariffs. arrowright