Eigenvalues of a matrix in relation to another matrix
Hint: If $\lambda = 0$ is an eigenvalue of $C$, then there must exist an associated eigenvector. That is, there is a (non-zero) vector $v$ for which $ABv = BAv$.
Hint: If $\lambda = 0$ is an eigenvalue of $C$, then there must exist an associated eigenvector. That is, there is a (non-zero) vector $v$ for which $ABv = BAv$.