$C = { (x, y, z) ∈ R ^3 | x+y+z = 0}$ .How to write C as generated subspaces with a minimal number of generators ?
2025-01-13 11:46:20.1736768780
Generated subspaces with a minimal number of generators
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Let $(x, y, -x-y)=x(1, 0, -1)+y(0, 1, -1)$
The vectors $(1, 0, -1), (0, 1, -1)$ span C.