Problem 2. Consider a matrix A and a vector o given as [1 0 1 1 A = 1 1 1 0 0 2 (a) Find the solution of the matrix equation A = b. (b) Based on your answer in part (a), answer the question: Is the vector b in the set by the column vectors of the matrix A? Give reasons (you don't need any computations part).

Solve Quickly please

Solve all Q10, 11, 12 explaining detailly each step

18.10 Use Newton's interpolating polynomial to determine y at x = 8 to the best possible accuracy. Compute the finite divided differences as in Fig. 18.5 and order your points to attain optimal accuracy and convergence. 1 2 5.5 11 13 16 18 y 0.5 3.134 5.3 9.9 10.2 9.35 7.2 6.2