Assignment2-1

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Northeastern University *

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5600

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Mathematics

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Feb 20, 2024

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Assignment 2 Due Monday, February 5th Problem set 1, 30 points Greenberg 9.4.4: b, f Greenberg 9.5.6: d Greenberg 9.5.14: c 14. Determine whether or not the following set of vectors is orthogonal. Greenberg 9.5.15: c

Problem set 2, 40 points Greenberg 9.6.1 1. If the following modifications are made to vector definitions, determine if the resultant space is a vector space. Greenberg 9.6.10 Greenberg 9.6.13

Greenberg 9.7.1: c, d 1. Show if the vectors Greenberg 9.7.4. e 4 . Determine the solution space of the following system Greenberg 9.7.7. b, c Greenberg 9.8.3. b, f, g, h

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Problem set 3: 30 points Greenberg 9.9.1: h, r (You are welcome to use symbolic packages to perform Gauss Elimination) Greenberg 9.9.2: b, d Greenberg 9.9.4: b, c Greenberg 9.9.9: b, f (please justify your answers) Greenberg 9.10.2: b, f

Greenberg 9.10.3: Greenberg 9.10.4: b Same as in 9.10.3, but for vector u = (3, − 1,1,2)

Assignment2-1

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