1.Previous
3.Next

For example, given the matrices and column vector , where

the augmented matrix is

For a given number of unknowns, the number of solutions to a system of linear equations depends only on the rank of the matrix of coefficients representing the system and the rank of the corresponding augmented matrix where the components of consist of the right hand sides of the successive linear equations. According to the Rouché-Capelli theorem,

1.Previous
3.Next