Linear Algebra for Computer Scientists. 1. Introducing Vectors

This computer science video is one of a series on linear algebra for computer scientists. This video introduces the concept of a vector. A vector is essentially a list of numbers that can be represented with an array or a function. Vectors are used for data analysis in a wide range of fields from linguistics finance. Typically, vectors are used to describe things that have magnitude and direction, and are therefore particularly useful for engineers and scientists when working with phenomena such as velocity, acceleration, momentum, force, impulse, weight, electromagnetic fields, and more. Vectors also have important applications in computer science such as computer graphics, machine learning and quantum computing. Other videos in this series cover calculating the magnitude of a vector, vector addition, scalar multiplication and calculating the dot product, cross product and convex combination of two vectors.
Chapters:
00:00 Vector Applications
00:58 Visualising Vectors
02:18 Vector Notation
04:51 Two Dimensional Vector Space
06:52 Orthogonal Vectors
07:34 Three Dimensional Vector Space
08:15 Vectors for data analysis

[xmeansnop]

It's comin' at the right time! It helps me a lot, thank you!

[yashwanthkumar]

Thank you so much sir ! continue doing videos on linear algebra !🤩

[Viggen]

Thanks, i'm thinking of taking my second honours degree in computer science, but before that want to have basic understanding of all math related to this course before enroling.

[martinsanchez-hwfi]

The real numbers R are also a vector space, so to have at least two components is not a necessary condition for it to be a vector, right?

[ahmedch]

Hello Sir,

Do you think it is possible to become a good programmer through self-taught learning?

If not, what is your advice ?

Thank you

[simply]

arent we missing cross product lecture?? i think it also is widely used in computer graphics right?

[RobertFletcherOBE]

my favourite bit was 1:17 when Ming the merciless took Jesus for a ride in his new car

[pyb.]

It’s horrible to use speed as a magnitude (because it just isn’t). Speed is distance/time. Distance is a magnitude. Time (as a delta) is also a magnitude. But speed isn’t.

Its also horrible to use speed as an example to explain vectors in the specific context of computer science, since the example is in the context of physics (a car moving in a direction at a certain speed). Math, physics, quantum physics, and computer science already struggle with sharing the same definition of vectors in their domain, so mixing 2 together is horrible as an introductory course.