(adsbygoogle = window.adsbygoogle || []).push({}); Linear Algebra-question. HELP!!

Problem:

Let [itex]L: R^3 \rightarrow R^4[/itex] be a linear transformation that satisfies:

[itex]L(e_1) = (2,1,0,1)^T = u[/itex]

[itex]L(e_2) = (0,3,3,4)^T = v[/itex]

[itex]L(e_3) = (2,-5,-6,-7)^T = w[/itex].

Determine a base for [itex]Range(L)[/itex].

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Is the base [itex]\{u,v\}[/itex] since [itex]w = u-2v[/itex]? Is it really that simple?

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# Linear Algebra-question.

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