Question 1 1 pts This chapter is about diagonalizing matrices. Let's remind ourselves why that's a good idea. Which of the following statements are true of all diagonal matrices. The determinant of a diagonal matrix is the product of the diagonal entries. The determinant of a diagonal matrix is the sum of the diagonal entries Powers of a diagonal matrix A are easy to compute. For example, A can be computed by taking a, for each entry ai; on the diagonal of A. All diagonal matrices are invertible The rank of a diagonal matrix is the number of nonzero entries in the matrix