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.
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.