Hello, this is my matlab hw from linear algebra course. plase provide me with the matlab codes! thank you very much :)

ALSO, a question part marked with a star(*) indicates the answer should be typed into your output as a comment the question isnt asking for MATLAB output.

For this problem, please do e,f,g,h ONLY. I'll post the rest in a separate question since it is too much.

2, Let A=12 0 1-2-1 (a) Enter A into MATLAB and use MATLAB to compute the dot product of the first column of A with its second column. Also compute the dot product of the third column with itself. (See guide for how to extract a column from a matrix.) (b) Compute the matrix product AT A (c) What is the relationship between the entries of AT A and the dot products of the columns of A? Make sure your answer is consistent with your computations (d) * What in general is the relationship between the entries of AA" and dot products of vectors associated to A? (e) Compute AA" and do at least two dot product computations to support your previous answer 3/V11 -1/V6 -1/V66 (f) Let Q = | 1/V11 2/V6-4/V66. Do a single matrix computation which shows that the columns of form an orthonormal set (g) Explain carefully why your computation above shows that the columns form an orthonormal (h) * Explain why the rows of Q must also form an orthonormal set set