Two subspaces are orthogonal if every vector in the first subspace is orthogonal to every vector in the second.
Is it true that two subspaces are orthogonal if every vector in the first subspace is orthogonal to every vector in the second?
Two subspaces are orthogonal if and only if every vector in the first subspace is orthogonal to every vector in the second, which is a standard definition in linear algebra and requires no citation.
Verdict: COMMON KNOWLEDGE · 0 sources for, 0 against · Last checked
The claim states the fundamental definition of orthogonality between two subspaces in linear algebra. It is a direct definition and common mathematical knowledge, so no citation or empirical paper is required to verify it.
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The claim states the fundamental definition of orthogonality between two subspaces in linear algebra. It is a direct definition and common mathematical knowledge, so no citation or empirical paper is required to verify it.
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