Transpose Example

Calculating the transpose using the definition

In this sequel to our transpose-extravanganza, I concretely show how to calculate the transpose of a matrix using the definition of the transpose (the one that uses dual spaces). Enjoy!

[HDQuote]

Dr Peyam, I watch your videos since around one year, when I started my maths bachelor and now I am in my second semster of linear Algebra.
I really love your videos and enjoy the way you speak so much, I would be very glad to meet you some day and thank you personally for your help (assuming I will achieve my goal of getting a bachelor).
Just know that you really changed my life for the better :)

[LibertyAzad]

This one rally was an extravaganza--thank you for making the dual vectors more concrete.

[starter]

I really love your work! It is very easy to understand your process and you have great examples to illustrate these ideas.

[SKARTHIKSELVAN]

Nowadays data science also uses linear algebra very much. Your videos helps me to learn other concepts also. Thanks.

[mehdislimani]

Can one make sense of A*A^T / A^T*A in this context? I am looking for a 'linear transformation' interpretation.

[sajidhaniff]

Outstanding! Thanks so much for these videos
Much appreciated

[Karthik-ysmi]

Dr. Peyam will u be doing any videos on tensors?

[lndasilisinaddala]

Sir? I love your video so much, I glad if the video have the easy explanation :)

[eamon_concannon]

I got that d = 1. Still, this was a useful video for deepening my understanding of dual spaces. Thanks.

[arnavarora]

Hey sir, d would come out to be 1. Anyway, thanks a lot

[qubix]

Fun fact: "Peyam" sounds exactly like the word "I will eat" in Russian