MATH 21A Final: MATH 20 Harvard 2004Spring20Final

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15 Feb 2019
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Full credit may not be given for an answer alone. You may use the backs of the pages or the extra pages for scratch work. Students who, for whatever reason, submit work not their own will ordinarily be required to withdraw from the college. 1: (20 points) for this and the next three problems, let. 1 (a) find the reduced row echelon form of a. label each operation to receive partial credit in case of arithmetic mistakes. 1 (b) find each of the following numbers. Explain your answers. (i) rank a (ii) null a (iii) det a. Find the parametric form of the general solution to the system of linear equations. 3: (15 points) continuing to let let. Find the parametric form of the general least-squares solution to the system of linear equations ax = c. Find a diagonal matrix d and an invertible matrix p such that.