Let {x1, x2, ... , xk, xk+1, ... , xn} be an orthonormal basis for an inner product

Chapter 5, Problem 33

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Let {x1, x2, ... , xk, xk+1, ... , xn} be an orthonormal basis for an inner product space V. Let S1 be the subspace of V spanned by x1, ... , xk, and let S2 be the subspace spanned by xk+1, xk+2, ... , xn. Show that S1 S2.

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