u/General-Total-6700

Resources megathread and guides on how to learn topics based on the physics roadmap.

I have been searching for specific structured megathreads or guides that could help me learn physics as effectively as possible, similar to what r/learnmath has, but I have been unable to find any.

My aim is to be well-versed in topics such as classical mechanics and EM, so I can pursue control systems as my domain with a strong foundation.

It would be great if you could provide any guides/megathreads I could look into or any resources I should start with?

Thanks in advance : )

reddit.com

u/General-Total-6700 — 9 days ago

▲ 3 r/learnmath

Confirmation of my understanding and doubt in Linear Algebra: Basis and Linear transformation

I had been going through 3b1b's YouTube videos on "Essence of Linear Algebra," and I was very confused about the idea of basis and transformation.

Please correct my understanding here.
Let's say we take two spaces, P1 and P2
(wrt -> with respect to)

In P1's space, the basis would be ihat and jhat. Similarly, in P2's space wrt to itself, the basis would be ihat and jhat.

In P1's space, the basis vectors of P2's would be different wrt P1, which can be expressed in a matrix (let's say A) where the movement of basis vectors from P1 to P2 is represented as collective columns in that matrix.

So whatever the vectors P2 sees wrt to itself (let's say x), could be converted to the space that P1 sees (let's say v), that's where we get the transformation
Ax=v

My doubt here is that

When you look into the notion that transformations as functions taking input (vector) and giving output (vector), is the input vector wrt P1 space or is it wrt P2 space?

Edit: reference: basis transformation

u/General-Total-6700 — 11 days ago