Please Code in Matlab

Let A be an n x n matrix and b a column vector with n entries. There are a number of ways to solve the linear system Arc = b. Here are some: r = A-1 (if A is invertible). The MATLAB command to invert a matrix is inv. I=A\6. Note that is a MATLAB operator. You can refer to this method as the "built-in solver." Compute the LU decomposition of A = LU. Solve y = L\b and then r = U\y. The MATLAB command to compute L and U is lu. a You are going to look at the efficiency (in terms of computation time) of each of these methods to solve a linear system, using random n x n square matrices of large size. Below are the precise instructions of what needs to be done: 1. We want to consider values of n ranging from n = 100 to n = 1000, with increments of 50. Requirement: use the construction a:b:c to generate this range of values of n and use a for loop to iterate through this range of values of n. n