Question

What is the definition of a normalized eigenvector?

Answer 1

\[\hat{A}=\left[\begin{array}{c}a_1\\a_2\\a_3\\\vdots\\a_n\end{array}\right]\quad\Rightarrow\quad\hat{A}_{norm}=\frac{1}{\sqrt{a^2_1+a^2_2+a^2_3+\cdots+a^2_n}}\left[\begin{array}{c}a_1\\a_2\\a_3\\\vdots\\a_n\end{array}\right]\]