This guy is underrated for real. YouTube - throw him into recommendations.

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In case you're also having trouble figuring out how we arrive at k=1/||w|| from k * (w*w/||w||) = 1:

remember that the dot product of any vector with itself is equal to its squared magnitude. Then, w*w can also be expressed as ||w||^2.
||w||^2/||w|| simplifies to just ||w||. Finally bring ||w|| to the other side by dividing the whole equation by ||w||, and you're done :)

if you also have trouble understanding why exactly the dot product of any vector with itself is equal to its squared magnitude it also helps to know that the magnitude of a vector is the square root of the sum of squares of its components and that sqrt(x) * sqrt(x) = x

I hope that somehow makes sense if you're struggling, surely took me a while to get that lol

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Dude thank you! now these equations don't feel like they were pulled out of thin air. and the best part is I can work them out too! I haven't done linear algebra in almost a decade so I got stuck on the ||w||/(w*w) part for a good bit but this pushed me to refresh some concepts and figure it out! Thank you

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Great video on SVM. Simple to understand.