Extend-subspace --- Introduction ---

Extend-subspace is an exercise on the vector subspaces. In an ambient vector space RRn, one gives a first subspace V generated by some given vectors {v1,...,vj}, and you are asked to find other vectors {vj+1,...,vk} such that the subspace generated by {v1,...,vk} has a required dimension.
Choose the level of difficulty suitable for you: 1 . 2 . 3 . 4 . 5 . 6 . 7 . 8 .

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Other exercises on: Vector space   Dimension   Linear algebra  


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