If b does not equal 0, can the solution set of ax = b be a plane through the origin?

Question

asked Jun 19, 2019 211k views

1 Answer

Vimal Trivedi · Answer 1 · 2019-06-23T09:09:00+0000

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.