Apply the gram-schmidt orthonormalization process to transform the given basis for rn into an orthonormal basis. use the euclidean inner product on rn and use the vectors in the order in which they are given. b = {(8, −6, 0), (5, 1, 0), (0, 0, 2)}u1=? ? u2=? ? u3=? ?

Remember, if is a basis for a subspace W of then is an orthonormal basis of W, where

and is defined as:

Then, to find a orthonormal basis of we will find first the 's.

Therefore, is a ortogonal basis for . But we need a orthonormal basis. Then is enough find the corresponding unit vector of the ortogonal basis found.

Hence

is a orthonormal basis for

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