Results 1 to 2 of 2

Math Help - linear independence

  1. #1
    Junior Member
    Joined
    Apr 2009
    Posts
    58

    linear independence

    Can someone please help me show that the set is linearly independent?

    I thought that to show this you will have to do the dot product of each vector and show that it is 0. But this doesnt work out. Any help would be greatly appreciated.. THank yOu
    Attached Thumbnails Attached Thumbnails linear independence-linearly-independent.jpg  
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member Gamma's Avatar
    Joined
    Dec 2008
    From
    Iowa City, IA
    Posts
    517

    advice, not full solution

    Just looking at it quickly here, I have some studying to do for a final in a few hours, I would take a look at that 4th vector you have there. I noticed it has a lot of 0s in it. You need only show that there is a 5x5 minor with nonzero determinant.

    I would look at the minor determined by the 4 rows with 0s in that position in column 4 and then try to carefully pick that last 5th row to take the determinant of that 5 x 5 resulting matrix. It should be pretty easy by cofactor expansion with all those 4 out of 5 entries being 0 in that column that you picked.

    No guarantee that this is going to be the correct minor though, but as it appears it was an assignment, my guess is there should be an easy way to do it other than computing determinants of all 5x5 minors of that thing.

    Hope it was of some assistance.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Linear Algebra: Linear Independence question
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: May 3rd 2011, 05:28 AM
  2. linear independence
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: January 8th 2011, 12:20 PM
  3. Linear Independence in linear transformations
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: September 17th 2009, 04:22 PM
  4. linear independence
    Posted in the Advanced Algebra Forum
    Replies: 0
    Last Post: April 1st 2009, 06:52 AM
  5. Linear Transformations and Linear Independence
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: November 6th 2008, 07:36 PM

Search Tags


/mathhelpforum @mathhelpforum