Given the following matrix

,

using Gaussian elimination, the next appropriate row-operation is

 If A = , B = and C =   , and AX + B = C then X is

The solution of the simultaneous equations

is

Given

Matrix multiplication is not defined for

Four sets of simultaneous linear equations are shown in the table below.

The number of these sets of equations that have a unique solution is

Augmented matrix   is an example of inconsistent system.

Linear system inconsistent  when

Linear system has unique solution when

The solutions to Linear system  is