This preview shows pages 1–6. Sign up to view the full content.
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: p ( t ) = 1 + 2 t3 t 2 . (b) (6 points) Show that T is a linear transformation. (c) (6 points) Find the matrix of T relative to the standard bases of P 2 and P 3 . 7. Let W be the subspace of R 4 spanned by the orthogonal vectors 3 21 4 and 2 2 61 , and let y = 3 99 3 . (a) (10 points) Write y as the sum of a vector in W and a vector in W . (b) (6 points) Find the distance from y to the subspace W . 8. (8 points) Find an orthogonal basis for the column space of A = 3 71111 2 3 8 47 . 9. (8 points) Find a least squares solution of A x = b , where A = 1 2 231 3 and b = 24 ....
View Full
Document
 Spring '09
 KOCH

Click to edit the document details