testmatrix.m - Matlab function will test whether a given matrix is in an echelon form, a row canonical form(Reduced Row Echelon Form), or neither. Example: A=randi([-1,4],4,4); x=textmatrix(A)
ref.m - Matlab function that will return a row echelon form for any given input matrix. Example: A=randi([-1,4],4,4); x=ref(A)
rcf.m - Matlab function that will return the row canonical form for any given row echelon matrix; function will return an appropriate error if the input matrix is NOT in echelon form. Example: A=randi([-1,4],4,4); x=rcf(A)
axb.m - a function that will take matrix argument A and vector argument b, and return the solution to Ax = b. The solution uses the functions (rcf.m and ref.m) and will give appropriate errors if a solution is not possible. Example: A=randi([-1,4],4,4); b=[2;3;4;5]; x=axb[A b] Note: Row dimension of A should match for b and column dimension of b is equal to 1.
compu_time.m - This file, with random matrices of various sizes, and will plot the time required to solve the system as a function of the number of rows m and columns n
Note: Make sure you have function files is in your path before run.
Thank you !!