This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: 1 1 1 and 13 2 , and let y = 143 . Write y as the sum of a vector in W and a vector orthogonal to W . 5. (10 points) Find an orthogonal basis for the column space of A = 1 22 1 1 1 . Then write down a matrix Q such that A = QR , where R is an invertible upper triangular matrix. Finally, write down a formula for R involving Q and A – but DO NOT CALCULATE R. 6. (8 points) Suppose we want to ﬁt a parabola y = β + β 1 x + β 2 x 2 to the data (0 , 2) , (1 , 6) , (3 , 26) , (4 , 50). Give a matrix X and a vector y so that the equation X β β 1 β 2 = y leads to a leastsquares ﬁt of the parabola with the given data. 7. (8 points) Find a leastsquares solution of 1 5 3 12 4 x = 21 5 ....
View
Full Document
 Fall '08
 PAVLOVIC
 Linear Algebra, Matrices, Dr. Schurle

Click to edit the document details