BlogHide Resteemspencentre (30)in mathematics • 7 years agoLinear Algebra: Gaussian EliminationNow 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…pencentre (30)in mathematics • 7 years agoLinear Algebra: Elementary Row OperationsNow 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…pencentre (30)in steemiteducation • 7 years agoLinear Algebra: RREF & REFSo 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…pencentre (30)in math • 7 years agoSet Theory: Cartesian ProductThere 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…pencentre (30)in mathematics • 7 years agoSet Theory: ComplementsOften 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…pencentre (30)in math • 7 years agoSet Theory: Union & IntersectionIs 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", as well as an…pencentre (30)in math • 7 years agoSet Theory: SubsetsWhat 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…pencentre (30)in math • 7 years agoSet Theory: CardinalitySo 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. ▶️…pencentre (30)in math • 7 years agoSet Theory: Venn DiagramsCertain 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 wordings? Learn how Venn…pencentre (30)in mat • 7 years agoSet Theory: Introduction to SetsWhat 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…pencentre (30)in math • 7 years agoLogic & Proof: Conditional StatementsSo 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…pencentre (30)in logic • 7 years agoLogic & Proof: Compound StatementsIt 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…pencentre (30)in math • 7 years agoLogic & Proof: CounterexamplesEver 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…pencentre (30)in existential • 7 years agoLogic & Proof: QuantifiersLearn how to deal with statements involving existential and universal quantifiers. ▶️ DTube ▶️ IPFSpencentre (30)in mathematics • 7 years agoLogic & Proof: StatementsHi 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…