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Math Help - Another L. tRansformation problem

  1. #1
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    Another L. tRansformation problem

    can any1 give an example of a distinct linear transsformation T and U such that N(T) = N(U) and R(T) = R(U)
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  2. #2
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    Quote Originally Posted by ruprotein View Post
    can any1 give an example of a distinct linear transsformation T and U such that N(T) = N(U) and R(T) = R(U)
    What does N(T) and R(T) mean?
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  3. #3
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    N(T) and R(T) are subspaces of V and W respectively. sorry about that...
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  4. #4
    Junior Member frenzy's Avatar
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    Quote Originally Posted by ruprotein View Post
    N(T) and R(T) are subspaces of V and W respectively. sorry about that...
    V and W are?

    Maybe you should write the entire problem.
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  5. #5
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    vecto spaces... i did
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  6. #6
    Junior Member frenzy's Avatar
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    Are T and U linear transformations from V to W

    is N(T) the null space of T

    is R(T) the range of T

    ?
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  7. #7
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    yeah sorry i thoguth the book was universal witht he symbols, yeah thats what R(t) and N(T) STAND For
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  8. #8
    Junior Member frenzy's Avatar
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    let V,U=R^2

    let T:R^2->R^2 be given by

    T(v)=A*v

    where

    A=
    [1 0
    0 1]

    let U:R^2->R^2 be given by

    U(v)=B*v

    where

    B=
    [1 1
    0 1]
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