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The three standard criteria are: 1) The subset is nonempty (typically verified by showing it contains the zero vector); 2) The subset is closed under vector addition; 3) The subset is closed under scalar multiplication.
Conditions: The subset is part of a larger vector space.; The operations are the inherited vector addition and scalar multiplication.
1:10 – 5:57Watch this moment ↗
The three standard criteria are: 1) The subset is nonempty (typically verified by showing it contains the zero vector); 2) The subset is closed under vector addition; 3) The subset is closed under scalar multiplication.
Conditions: The subset is part of a larger vector space.; The operations are the inherited vector addition and scalar multiplication.
1:10 – 5:57Watch this moment ↗