
Determine whether given vectors belong to subspaces: generated, defined, etc.
Express a vector as linear combination of other vectors.

subspace in R^n defined by m equations. At least ?? generators.
subspace in R^n generated by m vectors. At least ?? equations.
Similar questions for matrices and polynomials.

Subspace in R^n generated by m
(independent|non-proportional|non-zero|different)
vectors. The dimension is ____ _____.
Similar questions for defined, matrices, polynomials.

