8. Please answer TRUE or FALSE for the following statements (NO need to justify your answer). No credit for unanswered questions; incorrect answers will deduct the credit until zero point is earned in this section.

(g) (correct: 1; incorrect: -1; unanswered: 0) Let $\mathbf{u}_1, \ldots, \mathbf{u}_n$ be linearly dependent. Then $\mathbf{u}_1, \ldots, \mathbf{u}_{n-1}$ are linearly dependent.

(i) (correct: 1; incorrect: -1; unanswered: 0) The null space of $A$ is equal to the column space of $A^T A$.