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Homework Help: Geometric description of kernel

  1. Nov 13, 2007 #1
    T is the projection onto the xy-coordinate plane:

    I have to give a geometric description of the kernel and range of T.

    my geometric description of the kernel:
    a line along the z-axis. Is this correct?
    whats the geometric description of the range of T?
  2. jcsd
  3. Nov 13, 2007 #2


    User Avatar
    Science Advisor

    Why "a line along the z-axis". Why not just "the z-axis"?

    Is not the range, the set of all pairs (x,y, 0) pretty obvious?
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