
I'll introduce myself, what I want to teach, how I teach (both in English and Spanish)
In this section I will show you what we are going to learn in this course
Understand what is a vector, its properties as well as what are unit vectors. We will show how to represent vectors in one and three dimensions
We will learn how to solve linear combinations of independent and dependent vectors. We will also understand the differences between them
What is a matrix with an example
Example to show what is a matrix
What is the transpose of a matrix and how can we calculate it
We will learn what is a determinant and how we can calculate it for both 2 by 2 and 3 by 3 matrices
What is the adjoint of a matrix and how do we calculate it
Example of how to calculate the adjoint of a matrix
What are eigenvalues and eigenvectors for proportional vectors
What is the identity matrix
Calculating the eigenvalues of a matrix with an example
Calculating the eigenvectors of a matrix with an example
Equation to diagonalize a matrix
Diagonal matrix: example and proof
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