Unformatted text preview: i =1 ( v i Â· x )( v i Â· y ) , (b) for any x âˆˆ V we have k x k = Â± k X i =1 ( v i Â· x ) 2 Â² 1 2 Apply the above formulas to the case V = R 2 and v 1 = Â± 1 Â² and v 2 = Â± 1 Â² . 4. Let V := { x âˆˆ R 2 ; x 12 x 2 = 0 } âŠ‚ R 2 . (a) Show that V is a subspace. (b) Find a vector u âˆˆ V with k u k = 1. (c) Compute P V x for an arbitrary x âˆˆ R 2 (d) Compute the distance between x = Â±1 7 Â² and V . 1...
View
Full
Document
This note was uploaded on 02/25/2010 for the course MATHEMATIC 11007 taught by Professor Spyros during the Spring '10 term at Bristol Community College.
 Spring '10
 Spyros
 Linear Algebra, Algebra, Vectors

Click to edit the document details