Determine whether the set S={x[tex]^{2}[/tex]-2x,x[tex]^{3}[/tex]+8,x[tex]^{3}[/tex]-x[tex]^{2}[/tex],x[tex]^{2}[/tex]-4} spans P3(adsbygoogle = window.adsbygoogle || []).push({});

for example, if i had S={(123),(234),(345)} and asked to determin if this set spans R[tex]^{3}[/tex], then I would write these components as a matrix and then reduce to echelon form. From there Id be able to tell if this set spans R[tex]^{3}[/tex].

But for this problem I dont know how to approach it. Its the first time i see a problem like this.

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# Spanning set

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