What is a vector space? Even though they are initial taught in the context of arrows in space, or with vectors being lists of numbers, the idea is much more general and far-reaching.

What is a vector space? Even though they are initial taught in the context of arrows in space, or with vectors being lists of numbers, the idea is much more general and far-reaching.

What is a vector space? Even though they are initial taught in the context of arrows in space, or with vectors being lists of numbers, the idea is much more general and far-reaching.

Some foundational ideas in linear algebra: Span, linear combinations, and linear dependence.

Some foundational ideas in linear algebra: Span, linear combinations, and linear dependence.

In this video, we multiply matrices by a scalar.

This video covers Three Dimensional Vectors. This video goes over the various properties associated with three dimensional vectors. 6 intermediate examples are covered illustrating how to solve problems that make use of vectors in space.

This video goes over the dot product also known as the scalar product. This video goes over 11 examples illustrating how to solve problems that make use of the geometric and component definition of the dot product.

Learn how to determine the resultant vector by adding, subtracting and multiplying vectors by a scalar. We will also learn how to graph the resultant vectors to show the operations. Vectors can be added, subtracted and multiplied. To add...

This program covers the very important topic of the inverse of a matrix. We use the inverse of the matrix heavily when using matrix math to solve systems of equations, which is one of the reasons matrices are so useful. Because matrix...

In this video, we will cover closure of a set.
<
br/>
This clip is from the chapter "Machine Learning: Feature Engineering and Dimensionality Reduction with Python" of the series "Data Science and Machine Learning (Theory and...

In this video, we will cover vector space.
<
br/>
This clip is from the chapter "Machine Learning: Feature Engineering and Dimensionality Reduction with Python" of the series "Data Science and Machine Learning (Theory and Projects)...

This video is a review of Two Dimensional Vectors. This video goes over 12 examples covering vector addition, vector subtraction and scalar multiplication. These problems are solved by using the geometric interpretation of these...

This video introduces the third way of multiplying vectors called the cross product also known as the vector product and sometimes refereed to as the area product. This video will cover the geometric definition of the cross product.