Question 1044794: find the basic and the dimension of the solution space of
x+2y-3z=0
2x-y+z=0
4x+3y-z=0
Answer by robertb(5830)   (Show Source):
You can put this solution on YOUR website! The determinant of the coefficient matrix is -20 (not equal to zero!),
and hence the homogeneous system has only the TRIVIAL solution (0,0,0).
The solution space {(0,0,0)} has no basis (or has the empty set as basis), and has dimension zero.
|
|
|
