What Is a Vector Space? Vector space? Sounds a little strange, right? But in fact, we use it almost every day. The numbers we work with daily form one example of a vector space, and when we run something like…
Are you finding it hard to tackle the Oxford 5000 word list on your own? Welcome to Oxford 5000 Intermediate Ep.15. These are the essential words you need for fluent communication. This series breaks them down step-by-step, categorized by difficulty level, to…
Matrix (and Matrices) are one of the most fundamental tools in mathematics, widely used in fields such as AI, physics, and economics. Let’s break down what a matrix is, how it’s structured, and some of the key terms you’ll often…
Are you finding it hard to tackle the Oxford 5000 word list on your own? Welcome to Oxford 5000 Intermediate Ep.14. These are the essential words you need for fluent communication. This series breaks them down step-by-step, categorized by difficulty level, to…
Are you finding it hard to tackle the Oxford 5000 word list on your own? Welcome to Oxford 5000 Intermediate Ep.13. These are the essential words you need for fluent communication. This series breaks them down step-by-step, categorized by difficulty level, to…
Are you finding it hard to tackle the Oxford 5000 word list on your own? Welcome to Oxford 5000 Beginner Ep.26. These are the essential words you need for fluent communication. This series breaks them down step-by-step, categorized by difficulty…
Are you finding it hard to tackle the Oxford 5000 word list on your own? Welcome to Oxford 5000 Intermediate Ep.12. These are the essential words you need for fluent communication. This series breaks them down step-by-step, categorized by difficulty level, to…
A subspace is a subset of a vector space that still behaves like a vector space under the same operations of addition and scalar multiplication (you can find the link to the Vector Space post at the bottom of this…
What is linear combinations? When we study linear algebra, we keep running into the idea of “linearity” in a few core ways. Each one focuses on a different kind of object: Today, we’ll start with linear combinations. What is a…
In our previous post, we explored Linear Combinations—the art of mixing vectors together to reach new points in space. It showed us what is possible to build. But in mathematics, as in business, just knowing what is possible isn’t enough;…