Tag Archives: plane

Linear Algebra and Its Applications, Exercise 3.3.18

Posted on November 19, 2016 by hecker

Exercise 3.3.18. Suppose we have the following measurements of : and want to fit a plane of the form . a) Write a system of 4 equations in 3 unknowns representing the problem. (The system may not have a solution.) b) Write … Continue reading →

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Linear Algebra and Its Applications, Exercise 3.3.14

Posted on October 22, 2016 by hecker

Exercise 3.3.14. Find the projection matrix onto the plane spanned by the vectors and . Find a nonzero vector that projects to zero. Answer: The plane in question is the column space of the matrix The projection matrix . We have … Continue reading →

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Linear Algebra and Its Applications, Exercise 3.1.9

Posted on March 1, 2014 by hecker

Exercise 3.1.9. For the plane in spanned by the vectors and find the orthogonal complement (i.e., the line in perpendicular to the plane). Note that this can be done by solving the system where the two vectors are the rows … Continue reading →

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