Two distinct Eigenvectors corresponding to the same Eigenvalue are always linearly dependent.
So i know this statement is false, but i don't understand the reason given by the book.
"" The vectors (1,0), (2,0) are both the eigenvectors of the matrix
\begin{pmatrix} 1 & 0 \\ 0 & 0 \\ \end{pmatrix}
corresponding to the same eignevalue 1.""
Aren't both vectors are linearly dependent?