This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Bases and Coordinates (a) Check that the vectors in S = 3 11 31 1 , 2 6 05 1 1 , 0 4 22 3 , 6 5 4 3 2 1 , 8 7 87 7 8 , 0 6 1 7 7 9 are linearly independent (and therefore form a basis for M (2 , 3)) and then nd the coordinates of M = 11 14 9 11 9 9 with respect to this basis. (b) Extend the linearly independent set S = { (2 ,1 , 2 , 4 , 1 , ,1) , (2 , ,2 ,1 , ,2 , 2) , (7 , 8 , ,5 ,2 , 3 ,1) , (1 ,1 , 3 , 5 , 1 , 1 ,2) } to form a basis for R 7 . 2...
View
Full
Document
This note was uploaded on 09/04/2009 for the course MATH 136 taught by Professor All during the Winter '08 term at Waterloo.
 Winter '08
 All
 Linear Algebra, Algebra, matlab

Click to edit the document details