Linear Algebra: Projection onto a Line

Learn the basics of Linear Algebra with this series from the Worldwide Center of Mathematics. Find more math tutoring and lecture videos on our channel or at centerofmath.org/

[@TheMrlightswarm]

Excellent manipulation for deriving the projection formula. Thank you for the insightful video!

[@SaiyaraLBS]

Thanks. Better explanation and easier method that what I'm being taught at uni.

[@NickChengg]

4:30 don't understand why you cross out the c when you substituting the Prog(x)

[@TheNetkrot]

I think it is cause C is a constant and does not add anything to the multiplication of two orthogonal vectors that equals zero.

[@TheNetkrot]

Great video thanks a lot

[@sabbirahmed8012]

It was a very nice explanation. I appreciate your effort.

[@kenyoon2769]

Thanks! This is really helpful

[@Jo_Greg]

Shouldn't the distance between x and the projection be (x^2-projection^2)^.5 and not just x-projection? x-projection is something entirely different, right? Or is it somehow different because they are vectors? EDIT: Just kidding, dumb mistake. Great video :)

[@kleopatratzai9673]

Very helpful video!

[@059812]

Good video, thanks!

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[@typrkk]

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[@cyrils.1194]

Can't you just use trigonometry ?

[@albert4392]

Yes we can. But I think the point here is that this formula can be easily extended to higher dimension spaces, as long as it is an inner product space.

[@cyrils.1194]

@@albert4392 okay thanks a lot

[@santhosh20071993]

Well you need to read a lot?