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Create a main MATLAB script that performs the tasks described below. 1 (25 point

ID: 3599009 • Letter: C

Question

Create a main MATLAB script that performs the tasks described below.

1 (25 points) Back-substitution: Write the user-defined function x - backsub(A,b) that implements the back-substitution algorithm. It solves system of equations represented by Ax = b, where "A" is a nxn upper triangular maxtrix, "X" is an nx1 vector of variables and “b" is a "nx1" vector representing the right hand side part of the system of equations. Algorithm: Then, for i=n-1 ,n-2, ,1 : Cii Solve the following system of equations using your backsub() function 4x^ - x, + 2x3 + 3x4 20 6x3 + 5x4 = 4 4

Explanation / Answer

function X= backsub(A,b) l=length(b); X=zeros(l,1); X(l)=b(l)/A(l,l); for k=l-1:-1:1 X(k)=(b(k)-A(k,k+1:l)*X(k+1:l))/A(k,k); end

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