Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Linear subspaces challenging question

  1. Jul 8, 2009 #1

    aan

    User Avatar

    Please anyone solve this question or can even email me on my ID abu_95bakar@yahoo.com...

    For the following question determine whether the set S is a sub space of the given vectorspace V.

    v=Rn( where n represent dimension), S is the solution set of the sysytem Ax=b, where A is an mxn matrix.



    PLEASE HELP!!! THANX A MILLION IN ADVANCE.
     
  2. jcsd
  3. Jul 8, 2009 #2

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    Looks straight forward to me. To prove something is a subspace, show that it satisifies the properties of a subspace: specifically that it is closed under addition and scalar multiplication. If x and y are in this set then Ax= b and Ay= b so A(x+y)= Ax+ Ay= b+ b= 2b. What does that tell you?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Linear subspaces challenging question
  1. Subspace question (Replies: 1)

  2. Subspace question (Replies: 4)

  3. Subspace question (Replies: 3)

Loading...