For each of the following statements, indicate whether the statement is true or false. If a matrix A is singular, then the number of solutions to the linear system Ax = b depends on the particular choice of right-hand-side b. If a matrix A is nonsingular, then the number of solutions to the linear system Ax = b depends on the particular choice of right-hand-side b. If a matrix has a very small determinant, then the matrix is nearly singular. If any matrix has a zero on its main diagonal, then it is necessarily singular