Find an orthonormal basis for the subspace of Euclidean3-space below.W = {(x1, x2, x3)

Chapter 5, Problem 47

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Find an orthonormal basis for the subspace of Euclidean 3 - space below.

\(W=\left\{\left(x_{1}, x_{2}, x_{3}\right): x_{1}+x_{2}+x_{3}=0\right\}\)

Text Transcription:

W = {(x_1, x_2, x_3): x_1 + x_2 + x_3 = 0}

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