Tag Archives: error vector

Linear Algebra and Its Applications, Exercise 3.3.5

Posted on October 25, 2014 by hecker

Exercise 3.3.5. Given the system with no solution, provide a graph of a straight line that minimizes and solve for the equation of the line. What is the result of projecting the vector onto the column space of ? Answer: … Continue reading →

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Linear Algebra and Its Applications, Exercise 3.3.4

Posted on June 29, 2014 by hecker

Exercise 3.3.4. Given expand the expression , compute its partial derivatives with respect to and , and set them to zero. Compare the resulting equations to to confirm that you obtain the same normal equations in both cases (i.e., using … Continue reading →

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Linear Algebra and Its Applications, Exercise 3.3.3

Posted on June 23, 2014 by hecker

Exercise 3.3.3. Given solve to find . Show that is orthogonal to every column in . Answer: We have or if is invertible. In this case we have so that We then have and The error vector is then The … Continue reading →

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