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Tag Archives: error vector
Linear Algebra and Its Applications, Exercise 3.3.5
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
Posted in linear algebra
Tagged column space, error vector, least squares, projection
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Linear Algebra and Its Applications, Exercise 3.3.4
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
Linear Algebra and Its Applications, Exercise 3.3.3
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