Old MathJax webview

please follow the instructions in this photo and please give me the code in text... The code should be simple and it's so important to be valid for another example ( the code should be in generic form ) not designed to one problem

please solve the second and third problem I don't want the solution for the first one

please solve the second and third problem I don't want the solution for the first one

Instructions: Compress your Matlab files as one "zip" files named with your "Firstname Lastname" and submit them over MS Teams. Submissions via emails are not acceptable (i.e., will not be graded). Make sure to present the output within a proper message. For example, assume that you are asked to find the rank of a matrix. Do not just print the number that represents its rank. You need to show the output in a clear/meaningful statement. Below are some examples for such proper/acceptable formats to show the output: "The rank of matrix A = 4" - "The rank of matrix A equals to 4" "rank(A) = 4" Collaborative discussion is welcomed. At the end, you need to convert your understanding into codes. Late submissions are not accepted. 1 Part 1-Linear Independence, Span, and Basis Solve the following problems using Matlab. Problem 1: Write a Matlab script called "TestLinearIndependence" that decides whether the following set vectors are linearly independent or not S= {[:] 0 0 11 2 4 2 -1 2 Problem 2: Given the matrix A= 3 1 6 1 - 3 - 2 FourSubspaces" that finds the following: -2 31 1 1 -1 4 3 -2 Write a Matlab script called "Basic- (a) Row-Echelon form of A? (b) Basis and dimension of the nullsp(A)? (c) Basis and dimension of the rowsp(A)? (d) Basis and dimension of the colsp(A)? (e) rank(A)? Problem 3: Write a Matlab script called "BasisFinding" that finds the dimension and a basis of the subspace W = span {0 0 0 0 0 100 ]