Question: The origin of a space is represented by the intersection of the Cartesian axes. In turn, the Cartesian basis spanning the space is given by the identity matrix, I:

Using the foregoing numerical example, verify that the primal and dual geometric representations of the preceding system give rise to the same diagram. Furthermore, verify that the nonnegative solution of the system occurs because the RHS vector b is included in the cone formed by the Cartesian basic vectors.

Hint: Find the solution by constructing the parallelogram whose main diagonal is equal to the RHS vector b.