Linear Algebra and Its Applications · Problem 3.1.38

Orthogonality — Gilbert Strang

Mathematics · orthogonal-subspaces

Problem

If SS is the subspace of R3\mathbf{R}^3 containing only the zero vector, what is S⊥S^\perp? If SS is spanned by (1,1,1)(1,1,1), what is S⊥S^\perp? If SS is spanned by (2,0,0)(2,0,0) and (0,0,3)(0,0,3), what is S⊥S^\perp?

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