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.
If you are expert, you may choose parameters of the exercise in a
detailed menu.
This exercise originates from an idea of Frédéric Pham.
This page is not in its usual appearance because WIMS is unable to recognize your
web browser.
Please take note that WIMS pages are interactively generated; they are not ordinary
HTML files. They must be used interactively ONLINE. It is useless
for you to gather them through a robot program.
Description: complete a matrix for a minimal rank. This is the main site of WIMS (WWW Interactive Multipurpose Server): interactive exercises, online calculators and plotters, mathematical recreation and games