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Linear AlgebraEasyOrthogonality & Least Squares

Orthogonality & Least Squares · Easy problem

Let WW be the subspace of R5\mathbb R^5 spanned by (1,0,1,0,1)(1, 0, 1, 0, 1), (0,1,0,1,0)(0, 1, 0, 1, 0) and (1,1,1,1,1)(1, 1, 1, 1, 1). Find the dimension of the orthogonal complement W⊥W^{\perp}.