Homework 8 - CSE 3380 Homework#8 Assigned Due Wednesday...

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CSE 3380 – Homework #8 Assigned: Wednesday, March 23, 2016 Due: Monday, April 4, 2016 at 3:50pm (the end of class) Note the following about the homework: 1. You must show your work to receive credit. 2. If your submission has more than one page, staple the pages. Assignment: Process 1. Given vectors vector y = 1 2 3 4 and vectoru = 2 1 0 1 what is the orthogonal projection of vector y onto vectoru ? 2. Find the closest point to vector y in the subspace spanned by vectorv 1 and vectorv 2 . vector y = 2 1 3 , vectorv 1 = 1 0 1 , vectorv 2 = 1 1 - 1 This is asking for the orthogonal projection of vector y onto the subspace spanned by vectorv i . 3. Orthogonalize the following set of vectors using the Gram-Schmidt procedure. 4 - 10 - 4 - 8 , - 6 - 14 4 - 12 4. Orthogonalize the following set of vectors using the Gram-Schmidt procedure. 4 4 2 , - 4 2 4 , 36 0 0 5. Orthogonalize the following set of vectors using the Gram-Schmidt procedure. 3 3 3 3 , 3 0 0 3 , 0 6 3 - 3
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