In MATLAB please

5.1 Gauss Elimination Write Maple and/or Matlab code to implement Gauss elimination, as seen in class. 5.2 Gauss-Jordan Elimination Write Maple and/or Matlab code to implement Gauss-Jordan elimination, as seen in class. 5.3 The Hilbert matrix The Hilbert matrix Hn=(hij) is a square nn symmetric matrix with hij=i+j11, for i,j=1,,n. For example, for n=5, the Hilbert matrix of order 55 is: H5=11/21/31/41/51/21/31/41/51/61/31/41/51/61/71/41/51/61/71/81/51/61/71/81/9 1. Use your Gauss Elimination and Gauss-Jordan Elimination implementations to solve the following system of linear equations: H5x=1 where 1 is the 51 column vector whose all 5 entries are equal to 1 . 2. Use your implementation to compute the determinant of H5, using Gauss elimination. Compare your result with the determinant as computed by built-in Maple or Matlab commands. 3. Use your implementation to compute the inverse matrix H51, using Gauss-Jordan elimination, by appending the I5 identity matrix to H5. Compare your result with the inverse matrix as computed by built-in Maple or Matlab commands. 4. Compute the condition number of H5 by the formula (H5)=H5H51, for two different norms: (1) the 1-norm (2) the Frobenius norm