please write the matlab code for the following problem. Do not use any preproggrammed matlab functions. Problem $3(25=20+5)$

Write a code to compute inverse of a $NN$ matrix. The code will require you to implement LU

decomposition. Pseudo codes for the LU decomposition and even the Matrix inverse driver program that

calls LU decomposition is provided in your text$-$book. You are free to use Doolittle's or Crout's version

of the LU decomposition.

$($a$)$ Implement a version that works for any user defined $NN$ matrix.

$($b$)$ Check the accuracy of your implementation by comparing against the Matrix inverse generated

using preexisting libraries$/$functions in MATLAB or Numpy.