MATLAB ASSIGNMENT 5 - Matlab Assignment#5 Exercise 5.1(a List all maximal orthogonal subsets of the above set What is the maximum number of non-zero

MATLAB ASSIGNMENT 5 - Matlab Assignment#5 Exercise 5.1(a...

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Matlab Assignment #5 Exercise 5.1(a)List all maximal orthogonal subsets of the above set. What is the maximum number of non-zero orthogonal vectors that you can find in R3? What about Rn? Explain.
(b)Pick the largest subset from part (a) and normalize all the vectors using the following command:>> x=x/norm(x)x =0.88470.1474-0.4423>> y=y/norm(y)y =0.447200.8944>> z=z/norm(z)z =
0.0664 -0.9956 -0.0664 >> W=[x,y,z] W = 0.8847 0.4472 0.0664 0.1474 0 -0.9956 -0.4423 0.8944 -0.0664 Exercise 5.2

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