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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- Dec 2nd 2009, 05:43 PMNonaCounter example R(T+U) subset of or equal R(T) + R(U)
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 - Dec 4th 2009, 05:00 AMDefunkt
What is R?

- Dec 4th 2009, 11:42 AMNona
R = Rank

Thank you - Dec 4th 2009, 12:00 PMDefunkt
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

? - Dec 4th 2009, 12:59 PMNona
oops

R(T) = the range of the linear transformation T

sorry

Thanks - Dec 4th 2009, 03:25 PMJose27