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Essence of linear algebra preview
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مستوى CEFR
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الترجمة (80 مقاطع)
Hey everyone!
So I'm pretty excited about the next sequence of videos that I'm doing.
They'll be about linear algebra, which, as a lot of you know,
is one of those subjects that's required knowledge for just about any technical
discipline, but it's also, I've noticed, generally poorly understood by students
taking it for the first time.
A student might go through a class and learn how to compute lots of things,
like matrix multiplication, or the determinant, or cross products,
which use the determinant, or eigenvalues, but they might come out without really
understanding why matrix multiplication is defined the way that it is,
why the cross product has anything to do with the determinant,
or what an eigenvalue really represents.
Oftentimes, students end up well practiced in the numerical operations of matrices,
but are only vaguely aware of the geometric intuitions underlying it all.
But there's a fundamental difference between understanding linear
algebra on a numeric level and understanding it on a geometric level.
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