Determine whether the following statements are true or false. Justify briefly.
Assume the solution set of a homogeneous linear system with coeficient matrix A is a line then the solution set of a consistent system with coecient matrix A is also a line.
Statement is false.
consider following Homogeneous system of equations
The solution of this system is line y=(-2/3)x
Consider following homogeneous system of equation
It has only trivial solution
This solution not represent line but a point (0,0)