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 Document
Unformatted text preview: 2 4 5 3 7 8 b) 1 1 0 1 2 2 0 2 1 c) 2 1 2 1 2 2 2 2 3 3 NAME: 4. [20 points] Find the vector in the Span [ v 1 , v 2 , v 3 ] that is closest to the vector z . v 1 = 1 1 1 ; v 2 = 11 ; v 3 = 2 1 ; z = 1 1 1 2 4 NAME: 5. [20 points] Given the matrix A below, ﬁnd the orthogonal complements of R ( A ) and R ( A T ). How are the dimensions of the orthogonal complements you found related? A = 1 0 1 3 1 2 1 1 1 1 1 021 4 1 3 7 2 5...
View
Full
Document
This note was uploaded on 02/10/2009 for the course MATH 415 taught by Professor Bertrandguillou during the Spring '08 term at University of Illinois at Urbana–Champaign.
 Spring '08
 BERTRANDGUILLOU
 Math, Linear Algebra, Algebra

Click to edit the document details