Can you explain the these functions with detailed commands? B re Breakpoints Run

Question

Can you explain the these functions with detailed commands?
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Explanation / Answer

Hint:

Use this algorithm .It may help :

There is an actual MATLAB command for doing back substitution:

function x=backsub(A,y);
% backsub: solves upper triangular system A*x = y using backwards
substitution
% usage: x=backsub(A,y);
%
% arguments:
% A (nxn) - upper triangular matrix
% y (nx1) - vector
%
% x (nx1) - solution to A*x = y

% check to see that A is upper triangular
if any(any(tril(A,-1)))
   error('A must be upper triangular')
end

% check dimensions of A and y
[n,m]=size(A);
if n~=m
   error('A must be square');
end
if any([n 1]~=size(y))
   error('y must be a vector with the same # of rows as A');
end

% perform backwards substitution
x=zeros(n,1);
x(n)=y(n)/A(n,n);
for i=n-1:-1:1
   x(i)=(y(i)-A(i,i+1:n)*x(i+1:n))/A(i,i);
end

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