Students may use them as a training tool for a better memorization of the lesson, while teachers may put them into a work sheet with activated time limit, so that proficiency can be tested.
Let be a vector space, a non-empty subset.
Let be a vector space, a finite subset that . If , .
Let be a vector subspace of generated by a subset of elements. What can be said of the dimension of ?dim( ) is equal to .
Let be a vector space, , two distinct finite subsets with .
Let be a vector space of dimension , a subset of elements.
Other exercises on: vector spaces linear algebraThe most recent version
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Description: elementary questions on vector spaces. interactive exercises, online calculators and plotters, mathematical recreation and games
Keywords: interactive mathematics, interactive math, server side interactivity, algebra, linear_algebra, vector_space, basis, dimension, linear_systems