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ubuntu2004
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V = VectorSpace(RDF,2)
v1 = vector(RDF, [1,1])
v2 = vector(RDF, [1,2])
v3 = vector(RDF, [1,1])
v4 = vector(RDF, [0,1])
W12 = V.span([v1, v2])
W12
W13 = V.span([v1, v3])
W13
W12 == W13
Vector space of degree 2 and dimension 2 over Real Double Field Basis matrix: [1.0 0.0] [0.0 1.0] Vector space of degree 2 and dimension 1 over Real Double Field Basis matrix: [1.0 1.0] False 
V = VectorSpace(RDF,3)
v1 = vector(RDF, [1,1,2])
v2 = vector(RDF, [1,2,-1])
v3 = vector(RDF, [0,1,0])
v4 = vector(RDF, [2,0,0])
W12 = V.span([v1, v2])
W12
W13 = V.span([v1, v3])
W13
W12==W13
Vector space of degree 3 and dimension 2 over Real Double Field Basis matrix: [ 1.0 0.0 5.0] [ 0.0 1.0 -3.0] Vector space of degree 3 and dimension 2 over Real Double Field Basis matrix: [1.0 0.0 2.0] [0.0 1.0 0.0] False