1. (10 points) Consider the N * N linear system A= f in the form of U1 2 -1 0 -1 2 -1 0 -1 2 0 0 0 U2 1 U3 fi f2 f3 : fn h2 : : 0 : : 0 0 : 2 UN arising from the finite difference discretisation of the Poisson's equation u" (x) = f(x), & [0, 1] wit h = n+1 and boundary conditions u(0) = u(1) = 0. 1. (10 points) Consider the N * N linear system A= f in the form of U1 2 -1 0 -1 2 -1 0 -1 2 0 0 0 U2 1 U3 fi f2 f3 : fn h2 : : 0 : : 0 0 : 2 UN arising from the finite difference discretisation of the Poisson's equation u" (x) = f(x), & [0, 1] wit h = n+1 and boundary conditions u(0) = u(1) = 0