Please use MATLAB !

Now we are ready to model the clamped-free beam. Let us consider a solid wood diving board. Assume that the diving board is L- 2 m long, 30 cm wide, and 3 cm thick. The density of the wood is 12 0.3x(0.03)3/12 6.75 x10-7, where w is the width and d the thickness of the beam. Problem 1. We first begin with the beam with no payload, so that f(x) represents only the weight of the beam itself. Here f(x) is given by f(x)480 wdg480 (0.3) (0.03). (+9.8), where g- +9.8 m/sec is the acceleration of gravity. Write a matlab program to define the structure matrix A in (10). Then using the matlab '' command solve the system for the displacements y using n- 10 grid steps. Problem 2. Plot the solution in Problem 1 against the correct solution y(x) x4Lx + 612), where f f(x) is the constant defined above. Now we are ready to model the clamped-free beam. Let us consider a solid wood diving board. Assume that the diving board is L- 2 m long, 30 cm wide, and 3 cm thick. The density of the wood is 12 0.3x(0.03)3/12 6.75 x10-7, where w is the width and d the thickness of the beam. Problem 1. We first begin with the beam with no payload, so that f(x) represents only the weight of the beam itself. Here f(x) is given by f(x)480 wdg480 (0.3) (0.03). (+9.8), where g- +9.8 m/sec is the acceleration of gravity. Write a matlab program to define the structure matrix A in (10). Then using the matlab '' command solve the system for the displacements y using n- 10 grid steps. Problem 2. Plot the solution in Problem 1 against the correct solution y(x) x4Lx + 612), where f f(x) is the constant defined above