i need final verified Correct option, asap. i will give you perfect fedback,

13. (24 points) (2 points each) Classify each statement as true (T) or false (F) and your answer. You do not need to give explanation. True False Some systems of linear equations have exactly two solutions. True False If A is an m x n matrix whose reduced row echelon form contains no zero rows, then the columns of A form a generating set for R". True False If A and B are invertible, then AB is also invertible True False If A and B are invertible, then A + B is also invertible True False The determinant of a matrix with positive entries must be positive. True False If A and B are any square matrices, then det(AB) = det (A) det (B). True False The nullity of any matrix is equals to the nullity of its transpose. True False If A and B are any square matrices and D is an eigenvector of both A and B, then D is an eigenvector for A + B. True False A square matrix with characteristic polynomial p(1) = (13 -4) (1+3) is diagonalizable. True False If two matrices have the same characteristic equation, then they have the same eigenvectors. True False The Null space of an orthogonal matrix is (0). 0 0 True False A = 0 1 is an orthogonal matrix. O 1