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Math Help - Lin transformation problem

  1. #1
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    Lin transformation problem

    Find linear transformations U, T: F^2 -> F^2 such that UT = T[0] (THE ZERO TRANSFORMATION) but TU doesnt equal T[0]. Use your answer to find matrices A and B such that AB = 0 but BA doesnt equal 0.

    ANy1 kno this?
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by ruprotein View Post
    Find linear transformations U, T: F^2 -> F^2 such that UT = T[0] (THE ZERO TRANSFORMATION) but TU doesnt equal T[0]. Use your answer to find matrices A and B such that AB = 0 but BA doesnt equal 0.

    ANy1 kno this?
    Let U: (x,y) -> (x,0), and T: (x,y) -> (0,x).

    Then UT: (x,y) -> (0,0), and TU: (x,y) -> (0,x).

    RonL
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