1) Write a Matlab code to find the natural coordinates ( z and h) of a P(x,y) inside a triangular element with 3 nodes using the coordinate of the nodes. Try your code with the following case: Hints: Organize the equations for z and h in a matrix form (see below) and solve it by calculating the inverse of the 2x2 matrix. []{n}={x4} 2) Extend the code written above (point 1 ) to calculate x and use it to calculate the [N] matrix for a 6-node nonlinear-triangle element. Use the extended code to evaluate the matrix [N] at the point P 3) Test your code by assuming the same displacement for all nodes and calculating the displacement at the P. The displacement at the point P should be the same as the displacement of all the nodes. 1) Write a Matlab code to find the natural coordinates ( z and h) of a P(x,y) inside a triangular element with 3 nodes using the coordinate of the nodes. Try your code with the following case: Hints: Organize the equations for z and h in a matrix form (see below) and solve it by calculating the inverse of the 2x2 matrix. []{n}={x4} 2) Extend the code written above (point 1 ) to calculate x and use it to calculate the [N] matrix for a 6-node nonlinear-triangle element. Use the extended code to evaluate the matrix [N] at the point P 3) Test your code by assuming the same displacement for all nodes and calculating the displacement at the P. The displacement at the point P should be the same as the displacement of all the nodes