numerical analysis

Circle the correct answer for each question. 1) Let A=(3004), find A2 a) 9 b) 16 c) 4 d) 3 2) Let A=(2222), find the spectral radius of A. i.e., (A) a) 3 b) 2 c) 0 d) 4 3) With =3, the associated eigenvector of A=(2112) is: a) (0,1)T b) (1,1)T c) (1,1)T d) (1,0)T 4) Use Jacobi method to find X(2) (2nd -approximated solution) for the system: {x1x2=2x1+2x2=5, using X(0)=(2.80.8) as an initial approximation. a) X(2)=(3.1,1.1)T b) X(2)=(2.8,1.1)T c) X(2)=(3.25,0.875)T d) X(2)=(1.1,3.1)T 5) Jacobi method has been used to find the following two approximated solutions, X(3)=(4,2,1)T and X(4)=(6,0,3)T for the linear system AX=b. Find the relative error (RE). a) RE=3 b) RE=1/3 c) RE=2 d) RE=1/2 6) Use Gauss-Seidel method to find X(2)(2nd-approximated solution) for the system: {x1x2=2x1+2x2=5, using X(0)=(2.50.5) as an initial approximation. a) X(2)=(3,1)T b) X(2)=(2.5,1.25)T c) X(2)=(3.25,0.875)T d) X(2)=(3.1,1.1)T