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.

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

Other exercises on: Rank   Matrix   Linear systems   Vectors   Vector space   Linear algebra  

This exercise originates from an idea of Frédéric Pham.

The most recent version

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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, vectors, rank, linear_system