I'm in a Second Course in Linear Algebra this semester, and we've just been introduced to the idea of a dual space, dual vectors and briefly to a double dual space. I completely understand how all of these things work and how they're defined, but I don't understand why we care.(adsbygoogle = window.adsbygoogle || []).push({});

I've been doing some research on them online, and I understand some of the broader ideas which they are used for, but everything which I can find relating to dual spaces seems to be at a higher level than what we are dealing with in this class.

So my question is then, why do we learn about dual spaces as early as we do, and why do we care about them now?

Thank you

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# Why do we learn Dual Space so early?

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