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Gram-Schmidt Orthogonalization

(See attached file for full problem description)

For the A-matrix:

5x1 + 9x2 + 2x3 = 24
9x1 + 4x2 + x3 = 25
2x1 + x2 + x3 = 11

construct an orthonormal basis with a1 and then a2 and then a3. Next, expand the given vector b in terms of those vectors.


Solution Summary

Given the set of linear Equations

Find an orthonormal set of basis vectors from the coefficient vectors.