Linear algebra is the department of arithmetic regarding linear equations equivalent to linear features and their representations via matrices and vector areas. Linear algebra is central to nearly all areas of arithmetic. On this course you’ll be taught many of the fundamentals of linear algebra which can assist to grasp higher and apply in ML as effectively.
Subject coated
Introduction to Vectors (0:00)
Size of a Vector in 2 Dimensions (examples) (06:58)
Vector Addition (11:55)
Multiplying a Vector by a Scalar (16:38)
Vector Subtraction (19:32)
Vectors with Three elements (Three dimensions) (22:27)
Size of a 3-Dimensional Vector (26:05)
Definition of R^n (34:00)
Size of a Vector (40:37)
Proof: Vector Addition is Commutative and Associative (42:14)
Algebraic Properties of Vectors (49:59)
Definition of the Dot Product (51:33)
Dot Product – Angle Between Two Vectors (55:15)
Discover the Angle Between Two Vectors (instance) (01:4:41)
Orthogonal Vectors (1:08:26)
Proof concerning the Diagonals of a Parellelogram (01:12:47)
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Course content material created by: rootmath
License: Artistic Commons Attribution license (reuse allowed)
Go to rootmath YouTube and be taught extra: https://www.youtube.com/consumer/rootmath/playlists
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Mathematics of ML all courses: https://www.youtube.com/playlist?list=PLmAuaUS7wSOP-iTNDivR0ANKuTUhEzMe4
Table of contents:
Introduction to Vectors (0:00)
Length of a Vector in 2 Dimensions (examples) (06:58)
Vector Addition (11:55)
Multiplying a Vector by a Scalar (16:38)
Vector Subtraction (19:32)
Vectors with 3 components (3 dimensions) (22:27)
Length of a 3-Dimensional Vector (26:05)
Definition of R^n (34:00)
Length of a Vector (40:37)
Proof: Vector Addition is Commutative and Associative (42:14)
Algebraic Properties of Vectors (49:59)
Definition of the Dot Product (51:33)
Dot Product – Angle Between Two Vectors (55:15)
Find the Angle Between Two Vectors (example) (01:4:41)
Orthogonal Vectors (1:08:26)
Proof about the Diagonals of a Parellelogram (01:12:47)
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please where is part 2, i.e metrices. thank for this tutorial
Fantastic explanation tqqq ..
Surely to God you are missing a component of the vector when deducing its lenght since you will know that a vector consists of more than length.
A point on a Cartesian Plane has a set of co-ordinates in the plane and I`ll accept your first example x being 3 and y being 1.
But you are doing yourself a disfavor, since from this information we may define the whole vector – ie both its length and direction. Its direction is 18.43 degrees north of due east and its lenght is root 10. Tis defines the whole vector.
Why are you saying "see you in the next video" again and again?
What was the arccos thing? What did he substitute there?
Great introductory video!
Best explanation I have seen. This video is crucial for understanding the importance of vectors.
Phenomenal video! Thank you so very much!!
what is the 8) algebraic property of vector
1:21:31 Almost had me worried. 😂
please remove adds… its annoying and distracting.. please
Thank you so much for this video. This helped a lot….😊🤘
Man thank you!
Thanks so much for this video! I wish I had you as a math teacher in high school… 25 years later and it finally makes sense 🙂
It's really awesome explanation
I really thanking you sir
for excellent unique way of teaching.
Thanq so much. 🤝
19:30
I love it how he gives a few seconds of silence to cope with panic when he drops a new concept.
Lovely tut and mostly lovely, chilled instructor! Thanks! ♥️
10:42
Good content!
Got to Settings => Change playspeed to 1.5 => Thank me later!
thank you very very very much!!!! I learned what I didn't learn from other instructors, thanks to your patience of explanining things.
10:20 – For all the homies who don't know why the square root popped up.
For all real numbers
x, √x²=|x|
Without the absolute value symbol, it doesn't work for negative numbers!
For example,
√(−3)²≠−3
Very helping
Great explanation..
Thanks for the video, brother!
33:53
very nicely done
thank you
What about the (u-v) squared in minute 59:30 , its written as dotted which should be minus
Thank you for the tutorial ..what should i need to learn more of linear algebra for machine learning after this video
42 min wher I left, will come back with short span of time
This isolation made me review my math for designing my new algorithm for computer vision. Btw I'm a cashier 🙂
Thank you very much for this video. Very easy to follow through
This is literally one of the best Youtube channels describing math. Kudos!
don't mind me, just marking where i left off at 1:08:26
great video. What do you use for drawing ?
Really very very useful, easy to understand for a layman.thank you so much!
A simple and elegant presentation!
Wow so concise, and simple, what a great instructor 🙏🏿