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.

Set up
  • Level of difficulty: , , , , , , , ,
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This exercise originates from an idea of Frédéric Pham.

The most recent version
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