We want to write a function that would make any input square matrixsymmetricand return a symmetrized version of it. Remember fromlecture 3 that(A+A')/2 is the symmetric part of matrix A.

Write a simple Matlab function namedsymmetrize that

• accepts one argument named A, which is a square matrix (we assume all inputs are square, so you don't need to check this)
• The function returns a symmetric version of the matrix, call itres,by replacing every element A(i,j) of the matrix with the average of A(i,j) and A(j,i) usingfor loops
• The function should have a short description as the first line of comments and a lengthier (but no more than three lines) description that explains what the argument is, what the function does, the name of the author and date. (Remember that this information will be available as on-line documentation and whoever reads it does not always have access to the code. )

For example, (you can test this in command window to check if your code works correctly):

if this is your input matrix:

\f\f