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## Homework Statement

Let V be a finite-dimensional vector over ℝ, and let S and T be linear transformations from V to V

Show that n(ST)≤n(S)+n(T)

**Given Hints**

Consider the restriction of S to W where W=im(T)

**Can someone please tell me what the above hint means?**

I haven't attempted a solution, but then I'm not asking for a hint for the solution. I just require the definition of a restriction please! I haven't been able to find a definition of one in my lecture notes. They are just mentioned.

Thanks!