If S is a subspace of a finite-dimensional inner product space V, avector v is
Chapter 10, Problem 69(choose chapter or problem)
If S is a subspace of a finite-dimensional inner product space V, avector v is orthogonal to S ifv, s = 0 for every vectorsin S. Theset of all such vectors v is called the orthogonal complement of Sand is denoted by S. In Exercises 6972, prove that the statementinvolving S is true.If S is a subspace, then so is S.
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