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30 March, 18:43

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

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  1. 30 March, 19:50
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    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.
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