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The set is considered a subspace because vectors of the form (x,0,−x) stay in the same form after addition or scalar multiplication. This set is the span of (1,0,−1), a line through the origin.
Conditions: The vectors are of the form (x,0,-x).; The operation is vector addition or scalar multiplication.
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The set is considered a subspace because vectors of the form (x,0,−x) stay in the same form after addition or scalar multiplication. This set is the span of (1,0,−1), a line through the origin.
Conditions: The vectors are of the form (x,0,-x).; The operation is vector addition or scalar multiplication.
YouTubeSubspaces and Span
1:30 – 3:00Watch this moment ↗