Answer Happy

Posted: **Thu May 12, 2022 12:32 pm**

: Problem 2 Let T V V Be A Nilpotent Linear Transformation Of Index M Suppose For Some V E V The Vectors V T V 1 (20.03 KiB) Viewed 27 times

Problem 2. Let T: V + V be a nilpotent linear transformation of index m. Suppose for some v E V, the vectors v, T(v),..., TM-1(v) form a basis of a subspace W. Prove that dim Tk (W) = m – k for all k < m. =