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Extend-subspace --- Introduction ---

Extend-subspace is an exercise on the vector subspaces. In an ambient vector space n, 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 .

There is also a detailed menu for the parameters of this exercise.

Other exercises on: vector spaces   dimension   linear algebra  

Author of the page: XIAO Gang
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