Now that we know RREF and REF for a given matrix, and how we can apply elementary row operations, the next step is to develop a procedure to obtain either RREF or REF from a starting matrix. The Gaussian

Now that we know what a matrix is, what kind of operations can we do with them? In this video we will learn about elementary row operations, which are some of the most important operations we can perform

So what exactly is a matrix? No, we're not talking about NEO and that beautiful trilogy - we're talking the mathematical structure that is an array of numbers. In this video we will explore exactly what

There are nice similarities between multiplication and an operation that we can do on sets called the Cartesian Product. Give two sets A and B, the Cartesian Product gives a new set AxB of ordered pairs

Often it is helpful to be able to determine the elements in set A that are not a part of set B. We can do this by creating an operation called taking the complement of one set within another set. In this

Is it possible to "add" two sets together? Well, kind of! We have to be a bit careful on what we mean by "add" though. In this video we will look at an operation called "union",

What exactly is a subset of a given set? In this video we will look at defining a subset, take a look at a set of all subsets (how crazy is that?!), and look at special number sets (natural numbers, integers,

So now that know what a set is, it is important for us to be able to count the number of elements inside of a set. Watch this video to find out exactly how to do this, and why it is important. ▶️ DTube

Certain counting problems can get quite tricky, especially when they use the wording like "only A", "both A and B" or "A or B". So how can we successfully translate these

What exactly is a mathematical set, and what advantages are there to displaying objects in this way? In this series, we will explore basic operations on sets; and in our next series, we will connect these

So you're feeling good about simple statements and compound statements. Well, let's take it up one more notch to work with the big-boys of mathematical logic: conditional statements. Why are they important?

It is possible to connect two simple statements together using the connectors AND or OR. When we do this, the compound statements that we get have some interesting properties. How do we know whether or

Ever wondered the logical way to find a counterexample when you know someone is wrong? This can be especially tricky if quantifiers are involved. Take a peek at this video to find out! ▶️ DTube ▶️ IPFS

Learn how to deal with statements involving existential and universal quantifiers. ▶️ DTube ▶️ IPFS

Hi everyone, Here is the first video in a series on mathematical logic. My goal is to introduce simple statements, which are the building blocks of logic. Eventually, we will build up to compound and