Subspace generated by the columns of a matrix

The colspace command finds a basis for the column space of a matrix.

colspace takes one mandatory argument and one optional argument:
- A, a matrix.
- Optionally, var, a variable name.
colspace(A ⟨,var ⟩) returns a matrix whose columns are a basis of the subspace generated by the columns of A. With the optional argument var, Xcas will store the dimension of the subspace generated by the columns of A.

colspace([[1,1,2],[2,1,3],[3,1,4]])

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colspace([[1,1,2],[2,1,3],[3,1,4]],dimension)

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dimension