## Special Matrix (1) Nilpotent Matrix

Let $A$ be an $n\times n$ matrix. If there exists a positive integer $q$ such that \begin{equation}\label{eq:1}A^{q}=0,\end{equation} then we call $A$ a nilpotent matrix, meaning that one of its powers…

Best linear algebra books I would suggest starting with a basic level textbook and then put more effort on one or two intermediate level textbooks. Advanced level books may not…