Florida International University Solving Matrix in MATLAB Engineering Analysis hey, please accept this question if you know how to solve matrix problems by

Florida International University Solving Matrix in MATLAB Engineering Analysis hey, please accept this question if you know how to solve matrix problems by using the Matlab. do all the questions in the file by using Matlab. file is in the attachment. ENGINEERING ANALYSIS
EXTRA CREDIT EXAM1
1. Let A be given as below in Matlab format
Construct a matrix N whose columns form a basis for the null space of A, and construct a matrix R
whose rows form a basis for the row space of A. Matlab commands that you may find useful: rref and
null. If you use null, use the “rational basis” option so that the vectors are easy to read. In both cases,
you should look up the help files For example, doc null.
Perform a matrix computation that confirms the fact that the row space is orthogonal to the null space
of a matrix. 2.
2.
Let A be given as below in Matlab format. Perform a matrix computation that checks to see if
the columns are orthogonal to each other:
3. Let A be from the previous problem. What is the result of the following Matlab commands?
temp=sqrt(sum(A.*A));
B=A./repmat(temp,8,1);
4. Let U be the matrix A from the previous question with normalized columns.
Compare UTU and UUT . How do they differ?
5. Determine the dot product of each of the next vector pairs using Matlab.
6. Determine the norm of each Vector using Matlab
7. Use matlab to find Use Gram-Schmidt orthogonalization to convert
Into an orthogonal matrix
8. Show and explain how to solve cramer’s rule using Matlab
9. Show and explain Gauss-Jordan elimination using Matlab
10. Show and explain how to obtain the echelon form of any matrix using Matlab

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