If b does not equal 0, can the solution set of ax = b be a plane through the origin
A plane pass through the origin mean it passes (0,0)
When we plug in 0 for x then ax=b becomes
a(0) = 0 , when x = 0 then b not equal to 0 is a contradiction .
So , it is not possible if b does not equal 0, can the solution set of ax = b be a plane through the origin.