6. Let Find the rank of A. (A) rank( A )=1(B) rank( A )=2 2 (C) rank( A )=3(D) rank( A )=4

13. Which of the following statements is FALSE about the algebraic and geomet- ric multiplicities of the eigenvalues of A? (A) The algebraic multiplicity of the eigenvalue -1 is 1. (B) The algebraic multiplicity of the eigenvalue 2 is 2. (C) The geometric multiplicity of the eigenvalue -1 is 1. (D) The geometric multiplicity of the eigenvalue 2 is 2.