Please help me with question 5 and question 6, can choose more than one option. Thanks!

D Question 5 1 pts Suppose that A is a 4x4 matrix. Which of the following COULD be true about the eigenvalues of A. There could be 4 eigenvalues of algebraic multiplicity 2 There could be 2 eigenvalues, each of algebraic multiplicity 1, and no other eigenvalues. There could be 1 eigenvalue of algebraic multiplicity 4 There could be one eigenvalue of algebraic multiplicity 2 and one of algebraic multiplicity 3 There could be no real eigenvalues. D Question 6 1 pts Which of the following statements are true about eigenvalues and their algebraic multiplicity. The characteristic polynomial of a 3x3 matrix is always a cubic (degree 3) polynomial. O If the graph of the characteristic polynomial doesn't cross the x- axis, then the matrix has no real eigenvalues. O If A - )I is a matrix of full rank, then 1 must be an eigenvalue for A. O Any 7x7 matrix must have at least one real eigenvalue. If A is a 3x3 matrix of rank 2, then A must have at most 2 eigenvalues