Results 1 to 2 of 2

Math Help - question about intuitions about basic stuff

  1. #1
    Junior Member
    Joined
    May 2008
    Posts
    26

    question about intuitions about basic stuff

    Hi, i'm having trouble coming to an intuitive (spatial) understanding of what happens when a set of linear equations is written as a vector equation. For example, if you have three linear equations with two unknowns, this corresponds (geometrically) with three lines in the x,y plane ..right? However, viewed as a vector equation, we have two vectors in R^3 (multiplied by the respective variables) set equal to another vector in R^3. Now, instead of being in two dimensions, it seems like we've moved into three dimensions. Is this just a different geometric way of looking at the same thing?

    Also, think about a system of two linear equations in three variables. We have two planes in three dimensions. However, viewed as a vector equation, we have three vectors in R^2 (Multiplied by the respective variables) set equal to another vector in R^2. How can we say these vectors are in R^2 when we're dealing with planes in three dimensions?

    I'm using David Lay's linear algebra and its applications, if you have any page references.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member Henderson's Avatar
    Joined
    Dec 2007
    Posts
    127
    Thanks
    2
    Sounds like your issue is with the different representations- try watching this:

    http://blip.tv/play/gbJX2ZlGjvMg

    Specifically, pay attention to the part when he talks about "Row Picture" vs. "Column Picture".
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: September 21st 2010, 03:58 PM
  2. Calculus HW question on Integration and stuff
    Posted in the Calculus Forum
    Replies: 5
    Last Post: April 3rd 2010, 07:39 PM
  3. Complex Analysis, Plotting basic stuff
    Posted in the Calculus Forum
    Replies: 4
    Last Post: January 25th 2009, 08:13 AM
  4. Circles question (point of tangency stuff)
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: December 9th 2008, 05:17 AM
  5. Quick Algebra question (logs and stuff)
    Posted in the Algebra Forum
    Replies: 37
    Last Post: May 17th 2008, 08:19 PM

Search Tags


/mathhelpforum @mathhelpforum