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Ax=b; every vector b is exactly from one vector x (from row space of A) <more>?

  1. Mar 18, 2012 #1
    "Ax=b; every vector b is exactly from one vector x (from row space of A)".. <more>?

    Hi,
    I m refering 'Linear Algebra and its applications by Gilbert Starng".

    I read (ch.3.1)"Matrix transforms every vector from its row space to its column space". Or
    if given Ax=b; every vector b is exactly from one vector x (from row space of A).
    Just want to know What if we multiply A with some vector x which is not in row space?
    (can we do it !?)...
    Not able to figure it out. may be i have missed some basic concept or misunderstood it.

    Please help me out..
    than u..
     
  2. jcsd
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