Hello everyone, I need help plz Find a Counter example for: If T and U are linear transformations from V to W and W are vector space then R(T+U) subset of or equal R(T) + R(U). Thank you
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What is R?
R = Rank Thank you
The rank of a transformation (or matrix) is a number. How can a number be a subset of two other numbers? Perhaps you wanted to find a counter example of ?
oops R(T) = the range of the linear transformation T sorry Thanks
Originally Posted by Nona Hello everyone, I need help plz Find a Counter example for: If T and U are linear transformations from V to W and W are vector space then R(T+U) subset of or equal R(T) + R(U). Thank you There is no counterexample for this since it's true: . The other inclusion is false: take with and then and
Last edited by Jose27; December 4th 2009 at 02:43 PM.
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