
Linear Algebra Linear Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
May 26th, 2009, 07:24 PM  #1 
Newbie Joined: Apr 2009 Posts: 7 Thanks: 0  Basis for Null Space of A, given a set of conditions
Let B = {v, w, x, y} be a basis for , and let A be a 3x4 matrix with the following properties. Av = 0 vector A(v + 2y) = 0 vector Aw = Ax = Give a basis for the null space of A. Sorry, one more problem. I tried doing this, but ended up getting the answer wrong, I was wondering how you would go about doing this particular problem? Thanks so much. 
May 26th, 2009, 07:48 PM  #2 
Senior Member Joined: Nov 2007 Posts: 258 Thanks: 0  Re: Basis for Null Space of A, given a set of conditions
A(v + 2y) = Av + 2Ay = 0 Hence Ay = 0. I'll leave to you to show that no nontrivial linear combination of w, x will be mapped to the 0 vector. A basis will be given by v,y. 
May 26th, 2009, 08:21 PM  #3 
Newbie Joined: Apr 2009 Posts: 7 Thanks: 0  Re: Basis for Null Space of A, given a set of conditions
ah. ok. I see now. I was approaching this problem in completely the wrong way. Thanks! 

Tags 
basis, conditions, null, set, space 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Is basis(row space) = basis(vector space)?  PhizKid  Linear Algebra  1  November 25th, 2013 07:56 AM 
Null Space Basis and linear independence  gaussrelatz  Algebra  4  October 5th, 2013 05:01 AM 
Distribution of orthogonal basis for null space  fysampy  Linear Algebra  0  September 8th, 2012 07:35 PM 
found basis of Null(A) but points off because wrong R^n?  mbradar2  Linear Algebra  6  May 4th, 2011 11:40 AM 
null space and range space  Sambit  Linear Algebra  0  November 1st, 2010 04:22 AM 