Find a Linear Transformation of a Vector Given T(e1) and T(e2) (R2 to R3)

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This video explains how to determine a linear transformation of a vector from linear transformations of the vectors e1 and e2.
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The videos that came with my homework (online course) didn't explain what's actually going on in these types of problems and either the textbook wasn't clear or I couldn't understand it... I clicked on a few other YT videos on the subject, but watching your video is what helped me to understand--thank you!!

douba_plusa
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missed one lecture & fell behind but this helped me catch up. Thank you

endorito