In this problem you will be asked to apply the Invertible Matrix Theorem, which is stated here for your convenience. Invertible Matrix Theorem For an n x n matrix A, the following statements are equivalent. a) A is an invertible matrix b) AT c) A has n pivot positions. d) The equation Ax = 0 has only the trivial solution e) The columns of A are linearly independent. f) The linear transformation x Ax is one-to-one. g) The equation Ax = b has at least one solution for each b ER". h) The columns of A span R". i) The linear transformation Ax maps R" onto R". j) There is an n x n matrix C such that CA = I, k) There is an n x n matrix D sich that AD = 1, l) DA" is an invertible matrix. Is this statement true or false?