Transpose of a matrix | Matrix transformations | Linear Algebra | Khan Academy

Transpose of a matrix

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Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra.

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[Bermuda]

did this in class for a week didnt get it
come on youtube for 5 minutes and gets it one time

lol great explaination, thank you

[SlushGuppy]

Thanks! This stuff is easier than I thought it would be!

[xile]

thats iii waaaannntttteeddd toooo knooooww! i been looking through al my shitty notes and theres nothing that explains this clearly. Thank you Mr Khan!

[lode]

Thanks sal. I think I ahve a better understanding of interpreting spatial movement now.

[TCHRacoon]

phew... I've got a test tomorrow and I used to think that a transpose was a clockwise rotation of the original matrix. Glad I found why I was getting all the answers wrong on time.

[iqbalm]

may I know the use of transpose matrix

[arthurparm]

Can you also do complex conjugate of the transpose of a matrix and Hermitian?

[LNasterio]

I found it on wikipedia, go look for it, its useful

[jairodomech]

thanks i need some help with Kalman Filter i think you would be the only person that could explain that to me!

[LeBadman]

"This guy right here." Lmfao :') Great lessons.

[LNasterio]

it is useful, however I am looking for the case where transpose of A = -A

[MrKhalio]

thankx, great job'
keep going
more lessons pls

[iceboy]

tnx for the lesson :) but i still don't understand what are the uses of transposition of matrix =(

[budokan]

This video is unnecessarly long, in fact the same thing is explained twice. This could be shorter (max 2 mins or even shorter would be enough to explain the transpose operation)

[tekrina]

what is the application of transposing a matrix in real life...like how will it look in real life???

[dr.davidkirkby]

I had a student send me a rather poor description of the transpose, so I looked for a better one on the Khan Academy. I know the material from Khan Academy is trustworthy, whereas with YouTube as a whole, I find a lot of poor information. YouTube seems a magnet for idiots to create videos on subjects they know little about.

Anyway, my main point is I think it would be better if you stated that Amn=Anm for all m and n. Or I prefer to describe it to someone as Arc=Acr. The problem with using letters m and n is that when written next to each other, if you swap the order, it looks almost identical. look almost identical.

Out of the two choice of Amn=Anm or Arc=Acr, I think the latter is clearer.

Dave