This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: way: T (p(x)) = For example, if p(x) = x 2 + 4x + 3, T (p(x)) = = show that T is linear and find a basis for the kernel of T. 7. Decide whether the following transformations are linear. Indicate your reasoning. (a) L : R 3 → R 2 , where L(x) = (2x 3 ,−x 1 + x 2 ) T . (b ) L : R 2 → R 2 , where L(x) = (0, x 1 + x 2 ) T . (c) L : R 2 → R, where L(x) = 4x 1 − x 2 + 3. 8. Page 183, number 13 9. Page 184, number 16 10. Page 184, number 17...
View
Full Document
 Fall '08
 Edwards,D
 Differential Equations, Linear Algebra, Algebra, Equations

Click to edit the document details