Linear Algebra and Its Applications · Problem 3.1.39

Orthogonality — Gilbert Strang

Mathematics · orthogonal-subspaces

Problem

Suppose SS only contains (1,5,1)(1,5,1) and (2,2,2)(2,2,2) (not a subspace). Then S⊥S^\perp is the nullspace of the matrix A=A = \_\_\_\_. S⊥S^\perp is a subspace even if SS is not.

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