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2. For a vector subspace V of R, the orthogonal complement of Vis {w E R : w . v =0 for every v E
2. For a vector subspace V of R", the orthogonal complement of Vis {w E R" : w . v =0 for every v E V}. Specifically, consider the orthogonal complement W of the column space of the matrix CT 2 0 4 -1 O -2 1 -6 Show that W is a vector space and find a basis of W. (In fact, the orthogonal complement of every vector subspace is also a vector subspace.)
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