Pls no this is for CISC 271 (I just wanted to back it up)
Description of Assignment
As described in the course notes, and text, a linear equation of the form A~x = ~b can have more than one solution. The notes discuss these as the sum of a basic solution from the bound variables plus solutions from the null space of the matrix. Write a Matlab function as a file a1.m that has as its first line function [Bspace, Nspace] = a1(A, b) The function takes as input a matrix A and a vector ~b. You can assume, without checking, that the matrix A is square (size m × m) and that the vector ~b has the correct number of m entries. The test suite will ensure that m ≥ 1, so absurd inputs will not be used. The test suites will also be small, with m ≤ 10, so memory or speed will not be causes for concern. Your code must return two values: the basic solution as a column vector Bspace and the null solution as a matrix Nspace; the columns of Nspace are a basis of the null space of the matrix A. To implement your function, you may or may not find it useful to use auxiliary or “helper” functions. You must include all necessary helper function as individual m-files in the zip file. If your code does not run the first time, you will not receive a warning and will be assigned a failing mark. You should verify that your code returns a complete and correct result. By correct, we mean that when A operates on Bspace plus any vector in Nspace, the result is numerically very close to ~b. (The instructor recommends using random weights of null-space vectors to test the output of your code.) By complete, we mean that there is no solution that is not specified as the linear combination of the basic solution and some vector from the null space.