function [r]= myrank (A) % MYRANK Rank of a matrix % % Input: A rectangular matrix of real numbers. % Output: The rank of the matrix. Using the file my rank. m, write a function that caiculates the rank of a (possibly rectangular) matrix. The input to the function is an mxn matrix and the output is an integer equal to the matrix's rank. Your function should calculate the row echelon form without using buildin functions for solving or reducing linear systems (tinso Lve, rref, etc.). The builtin rank function (or similar functions) is also not allowed. Remember that floating point operations are susceptible to small roundotf errors. To check if an element of a matrix is zero, use a tolerance of 1e-8. For example, the (i.j)th element of a matrix A is zero if abs(A(1,j))