---

Comment : Matrix quiz
Comment : This quiz is designed to test your knowledge of such concepts as diagonalizability,
Comment : invertibility, row operations, rank, determinant, etc.

---

Question 1: Let A be an n x n matrix. Which of the following criteria will ensure that A is diagonalizable over the reals?

---

---

	The rows of A are linearly independent.
	The characteristic polynomial of A splits over the reals.
	The determinant of A is non-zero.
	A has n distinct real eigenvalues.
	The characteristic polynomial of A has no repeated roots.
	A can be row reduced to a diagonal matrix.
	A commutes with all diagonal matrices.