Results 1 to 2 of 2

Thread: Linear Transformations

  1. #1
    Ife
    Ife is offline
    Member Ife's Avatar
    Joined
    May 2009
    From
    Trinidad & Tobago
    Posts
    119

    Linear Transformations

    Hi, this topic is very scant in my text and notes. I have been given this question. I am not sure where to start (or continue, for that matter). Can I have some assistance please??

    Define a linear transformation $\displaystyle T: P_2 \rightarrow R^2$ by $\displaystyle T(p) = \left[ \begin{array}{cc}P(0)\\P(0) \end{array} \right]$. Find polynomials $\displaystyle p_1$ and $\displaystyle p_2$ in $\displaystyle P_2$ that span the kernel of $\displaystyle T$, and describe the range of $\displaystyle T$.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member Shanks's Avatar
    Joined
    Nov 2009
    From
    BeiJing
    Posts
    374
    $\displaystyle kerT=\{p \in P_2:T(p)=0\}=\{p \in P_2(0)=0\}$
    now can you find the generator of the kernal of T?
    the range of T is the subspace of $\displaystyle R^2$ generated by (1,1).
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Linear Transformations and the General Linear Group
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: Dec 26th 2011, 10:50 AM
  2. Linear Map transformations (Linear Algebra)
    Posted in the Algebra Forum
    Replies: 4
    Last Post: Oct 21st 2011, 09:56 AM
  3. Basic Linear Algebra - Linear Transformations Help
    Posted in the Advanced Algebra Forum
    Replies: 6
    Last Post: Dec 7th 2010, 03:59 PM
  4. Linear Algebra: Linear Transformations
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: Dec 9th 2008, 04:30 PM
  5. Replies: 3
    Last Post: Jun 2nd 2007, 10:08 AM

Search Tags


/mathhelpforum @mathhelpforum