Linear Algebra and Its Applications · Problem 3.1.22

Orthogonality — Gilbert Strang

Mathematics · orthogonal-vectors-subspaces

Problem

Let SS be the subspace of R4\mathbf{R}^4 containing all vectors with x1+x2+x3+x4=0x_1 + x_2 + x_3 + x_4 = 0. Find a basis for the space S⊥S^\perp, containing all vectors orthogonal to SS.

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