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

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Diamond Mcclain

Mathematics

4 November, 16:32

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

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Timber · Answer 1

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.