Vectors and Matrices

[LeeAndro]

Published 07/2022MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHz, 2 ChGenre: eLearning | Language: English | Duration: 23 lectures (16h 45m) | Size: 7 GB

Vectors in the plane and in the space: dot product and cross product of vectors; lines and planes; distances between points, lines, and planes
Vector spaces and spanning subspaces; linearly independence; basis; dimension
Matrix theory: operations on matrices; transpose of a matrix; invertible matrices; elementary row operations; diagonalization;
Systems of linear equations: matrix form of a system; elementary operations on systems of linear equations; deteants and Cramer's rule

No college algebra is required

"Vectors and Matrices" is a one-term course for first-year undergraduate students containing the geometry of the plane and the space, and the most important part of linear algebra.​

It is taught through lectures and in-class exercises combined: in each class, I will first give a lecture, and then give one or two problems to be solved in class. No additional assignments are required. I taught this course in the Fall Semester of 2021, and all the students passed the course.

The course covers the following topics.

1. Vectors in the plane and the space: we will discuss dot product and cross product of vectors; equations of lines and planes; distances between points, lines, and planes.

2. Vector spaces: we will discuss subspaces and spanning subspaces; linear independence of vectors; the basis of a subspace; the dimension of a vector space.

3. Matrix theory: we will discuss operations on matrices (addition, subtraction, scalar multiplication, and multiplication of matrices); transpose of a matrix; invertible matrices; elementary row operations of matrices; nvalues and nvectors; diagonalization;

4. Systems of linear equations: we will discuss the matrix form of a system; elementary operations on systems of linear equations; deteants and Cramer's rule.

If you want to learn the most important part of linear algebra quickly, you are advised to take this course.

Undergraduate students

HomePage:

https://anonymz.com/https://www.udemy.com/course/vectors-and-matrices/

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