I have just had linear algebra exam, and one of the questions was to prove or disprove (give a counterexample) that if span(S) = span(P) then S=P.(adsbygoogle = window.adsbygoogle || []).push({});

I gave this example:

S={v} where vector v=(1,2), and P={u} where u= (2,4).

Then, span(S) = span (P) (line through origin parallel to vector (1,2)),

but S does not equal P.

Am I right?

Thank you!

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# If span(S)=span(P), then S=P.

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