❖ Rotating Points Using Rotation Matrices ❖

In this video I justify the formula used involving matrices to help find the new coordinates of a point after a counter clockwise rotation. There is one quick example as well at the end! The formula is pretty easy to use so long as your remember matrix multiplication so I spent more time on the justification part since it is more interested!
This topic would be useful for people in animation or design if you want to understand the mathematics occurring in the background.

[patrickjmt]

Hi all! Wanna help a Youtube education OG? Please post comments, questions and anything else on your mind in the comment section! so, don’t forget to LIKE, THUMBS UP, and SUBSCRIBE! I’d appreciate it greatly as it helps me :)

[kseshan]

I am a chemist (retired professor) and I am trying to understand how animation works (matrices and graphics). You are a wonderful teacher. Thanx for helping me to come to this solution for rotating vectors using mathematics I learned at school (and remember still). Brilliant lesson.

[cheatman]

Finally I can think of something when someone says "transformation matrices", because those were nothing but a bunch of vectors for me till now. Thank you for making this great, clear explanation.

[GoatDirt]

MAD respect doing explainers in SHARPEE. NO mess ups. Great work!

[varus]

I watched your videos since I was an undergraduate student, now I am studying in Ph.D and still watch your videos XD. Thank you so much for everything you have made for us. I am really appreciated <3 :). You are my professor master.

[obensustam]

I am a robotics software engineer and use rotation matrix for differential robot position estimation in my code. However, I was not aware of the mathematics behind it. Thank you so much for this great explanation.

[souraneelchattoraj]

Dude you have no idea how much this video helped me understand the -sin theta, i forgot about trig identities and this is just what I needed to carry on my 2 link manipullator research. Thank you

[codebitcookie]

You just made my life easier, I can't thank you enough!

[AlexMcClung]

Great explanation, thanks! It would be great to see a derivation of the 3D case (3x3 rotation matrix) also.

[fxckingjapanese]

Thank you so much Patrick!! I had an assignment of this. You almost saved my grade of Engineering Mathematics :D

[yunweneric]

Quite eloquent and straight to the point.
I find this quite helpful



Thanks

[keithturner]

Hey mate, I'm currently doing a mathematical exploration of matrices as part of a teaching degree. I stumbled upon the rotation matrix through some guess work, but I didn't understand where it came from until your video, what a great explanation! I would have never gave thought to use that trig identity. Cheers and keep up the good work :)

[spicesmiles]

soo clear!! thank you!! 
no fancy tricks, just clarity...sigh
again thank you!

[hoodiegamer]

We pay a million bucks in tuition but the guy from Youtube teaches way better for free OMG thank you very much Sir

[Haligonian]

You are shockingly good at freehanding straight lines.

[veronicagonzalez]

thanks for all the help, you have saved me many times in my time of need and i just wanted to say thank you

[lukas]

nice video! if you aren't interested in the derivation, start at 10:50 and for the "shortcut" start at 15:21

[pathummudannayake]

Thank you. Awesome explanation. Some class just gave the matrix for 3D without saying how it got there. Your explanation is spot on.

[guy]

never thought id need this so when i learnt in school i didnt understand, now i need it for my code, funny how that works, im so interested this time, last time didnt even care enough to remember

[MuksEmmaN]

You explained in 9 mins what my lecturer tried explaining in a week