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A nonempty subset of a vector space is a subspace when it is closed under vector addition and scalar multiplication. The nonempty requirement ensures the zero vector is present.
Conditions: The subset must be nonempty.; The subset must be closed under vector addition.; The subset must be closed under scalar multiplication.
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A nonempty subset of a vector space is a subspace when it is closed under vector addition and scalar multiplication. The nonempty requirement ensures the zero vector is present.
Conditions: The subset must be nonempty.; The subset must be closed under vector addition.; The subset must be closed under scalar multiplication.
YouTubeSubspaces and Span
0:00 – 1:30Watch this moment ↗