Question: This is a hard question for Linear Algebra: Suppose T : Rn --> Rk, U : Rk --> Rm are linear maps. Show that nullity

This is a hard question for Linear Algebra:

Suppose T : Rn --> Rk, U : Rk --> Rm are linear maps. Show that

nullity (U o T) <= nullity (U) + nullity (T).

Please solve the question in details, show all the steps and all the assumptions. Kindly use a very clear hand writting or preferably type it with a computer

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