Give an example of a vector b for which the system NX=b has no solution?

and an example of a vector C for which the system Nx=c does have a solution.





N=


-1 2 0.5 4


0 0 5 10


0 0 0 0

Give an example of a vector b for which the system NX=b has no solution?
Given:


N=


-1░:2░½░::4▐ b1


:0░:0░:5░10▐ b2


:0░:0░:0░::0▐ b3


Find an ex of a vector B so NX=B have no solution:


Let b= (0,0, 1) will newer could satisfy the equation because now matter what vector


X = (x1,x2,x3,x4) we choose b3 will newer be 1


Find an ex of a vector C so NX=C has a solution:


Let C=( 0,0,0) and NX=C has the solution X=( 0,0,0,0)