Rank filler
--- Introduction ---

The rank of a matrix plays a very important role in linear algebra. It conditions the linear dependence of vectors, or the existence of non-zero solution of a homogeneous linear system.

This exercise gives you a matrix (presented under different forms: vectors, linear system), some elements of which are missing. You have to find the values of the missing elements, such that the matrix has a rank smaller than its size.

Choose the form of the presentation:

And the level of difficulty: 1   2   3   4   5   6   7   8   9  

If you are expert, you may choose parameters of the exercise in a detailed menu.

Other exercises on: rank   matrices   linear systems   vectors   vector spaces   linear algebra  

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Description: complete a matrix for a minimal rank. interactive exercises, online calculators and plotters, mathematical recreation and games

Keywords: interactive mathematics, interactive math, server side interactivity, algebra, linear algebra, matrix, vector, rank, linear dependence, linear system