If $A$ and $B$ are similar matrices then every eigenvector of $A$ is an eigenvector of $B$.
Is the above statement is true? I know that similar matrices have same eigenvalue but I'm not sure about the eigenvectors.
If $A$ and $B$ are similar matrices then every eigenvector of $A$ is an eigenvector of $B$.
Is the above statement is true? I know that similar matrices have same eigenvalue but I'm not sure about the eigenvectors.