Algebra (vectors and matrices) in Mathematics

Ratings 3.81 / 5.00

What You Will Learn!

What is a vector and its properties both in one and three dimensions
What are unit vectors
What are linear combinations of vectors (both independent and dependent)
What are matrices
How to calculate the transpose, determinant and adjoint of a matrix
What are the eigenvectors and eigenvalues of a matrix and how we can calculate them
How to obtain the diagonal of a matrix using the eigenvectors and eigenvalues

Description

Hi!

My name is Alison

I'm an analytical person with a science background, that has a passion for complex problem solving. I have a PhD in Science and I currently work as a Software Developer.

I'm here to teach you Maths, Chemistry, Physics and Programming.

I present my courses in a clear, logical and structured way. For every topic, I also include an example or exercise to make sure that it is clear and easy to understand.

Please send me your feedback and let me know if you have any comments, questions or suggestions. I may be able to prepare a course that interests you.

In this specific course we will learn various concepts about algebra in mathematics

1) First, we will introduce what is a vector, its properties and how we can represent it in both one and three dimensions. We will also talk about unit vectors.

2) Afterwards, we will explain what is a linear combination of vectors and how we can solve these equations if the vectors are independent or dependent.

3) The we will introduce what is a matrix with an example to understand this

4) We will learn how to calculate the transpose, determinant and adjoint of a matrix with examples

5) Then, we will explain what are the eigenvalues and eigenvectors of a matrix as well as how we can calculate them

6) Finally, I will show you how we can obtain the diagonal of a matrix using the eigenvalues and eigenvectors

I hope you enjoy this course, find it easy and learn a lot with me

Good luck and see you soon

Alison