19 Suppose A is a 3 by 3 matrix and that is a basis for the eigenspace of A corresponding to eigenvalue 3, and 3 is the only eigenvalue of A. How many of the following statements can be deduced from the given information? Statement 1 3 is an eigenvalue of A? Statement 2 A is not diagonalisable. Statement 3 is also an eigenvector of A. Select one alternative: 0 3 01 02 O020 A species of large fish and a species of small fish compete for the same food source. Their populations are given by the discrete dynamical system A where a is the population of small fish after n years and y. is the population of [Vn+1] large fish after n years, and A is a 2 by 2 matrix which has as an eigenvector with eigenvalue 1.2, and as an eigenvector with eigenvalue 1.1. Initially the two species have the same populations. In the long term, which of the following is true? Select one alternative: O There will be approximately 9 times as many small fish as large fish. * O There will be approximately 9 times as many large fish as small fish. O There will be approximately 4 times as many small fish as large fish. There will be approximately 4 times as many large fish as small fish. w