Note that an eigenvector cannot be zero, but an eigenvalue canbe 0. Suppose that 0 is an eigenvalue of A....

Note that an eigenvector cannot be zero, but an eigenvalue canbe 0. Suppose that 0 is an eigenvalue of A. What does it say about A? (Hint: One of themost important properties of a matrix is whether or not it is invertible. Think about theInvertible Matrix Theorem and all the ‘good things’ of dealing with invertible matrices)