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: is independent unless u = 0, but if u = 0 is dependent. 3. Suppose 1 2 a. If 1 is linearly dependent, 2 is linearly dependent. b. If 1 is linearly independent, know not about 2 . c. If 2 is linearly independent, so is 1 . d. If 2 is linearly dependent, know not about 1 . 4. If S is linearly independent and \ then is linearly dependent iff u is a linear combination of elements of S. ? ( ) Proof: Suppose ? = ? ? , ( ?? ) 1 ? = 0 (nontrivial l.c. of distinct elements of is linearly dependent....
View
Full
Document
This note was uploaded on 05/25/2011 for the course MAT 244 taught by Professor Christinasaleh during the Fall '10 term at University of Toronto Toronto.
 Fall '10
 ChristinaSaleh
 Linear Algebra, Algebra

Click to edit the document details