- #1
JonoPUH
- 11
- 0
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!