Question is attached. I just would like someone to verify whether the answer involves fractions/mixed numbers because I do tend to get antsy when I see them in my work. I wonder if I did it right.
So anyway here is what I got with Gram-Schmidt Process:
With x1, x2, and x3 representing the first, second, and third columns of A and v1, v2, and v3 representing each vector in the orthogonal basis respectively,
v1= [1 2 0 2] v2 = [x2] and v3= [-1 7/6 1/6 -2/3]
Correct? And since we are on the topic, how do I go about finding the QR factorization of A ?