Linear Algebra for Computer Scientists. 12. Introducing the Matrix
This computer science video is one of a series of lessons about linear algebra for computer scientists. This video introduces the concept of a matrix. A matrix is a rectangular or square, two dimensional array of numbers, symbols, or expressions. A matrix is also classed a second order
From playlist Linear Algebra for Computer Scientists
Understanding Matrices and Matrix Notation
In order to do linear algebra, we will have to know how to use matrices. So what's a matrix? It's just an array of numbers listed in a grid of particular dimensions that can represent the coefficients and constants from a system of linear equations. They're fun, I promise! Let's just start
From playlist Mathematics (All Of It)
What is a matrix? Free ebook http://tinyurl.com/EngMathYT
From playlist Intro to Matrices
Matrix Addition, Subtraction, and Scalar Multiplication
This video shows how to add, subtract and perform scalar multiplication with matrices. http://mathispower4u.yolasite.com/ http://mathispower4u.wordpress.com/
From playlist Introduction to Matrices and Matrix Operations
How do we add matrices. A matrix is an abstract object that exists in its own right, and in this sense, it is similar to a natural number, or a complex number, or even a polynomial. Each element in a matrix has an address by way of the row in which it is and the column in which it is. Y
From playlist Introducing linear algebra
Matrix Algebra Basics || Matrix Algebra for Beginners
In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns. This course is about basics of matrix algebra. Website: https://geekslesson.com/ 0:00 Introduction 0:19 Vectors and Matrices 3:30 Identities and Transposes 5:59 Add
From playlist Algebra
This video introduces the identity matrix and illustrates the properties of the identity matrix. http://mathispower4u.yolasite.com/ http://mathispower4u.wordpress.com/
From playlist Introduction to Matrices and Matrix Operations
Polynomials, Matrices and Pascal Arrays | Algebraic Calculus One | Wild Egg
We introduce some basic orientation towards polynomials and matrices in the context of the Pascal-type arrays that figured in our analysis of the Faulhaber polynomials and Bernoulli numbers in the previous video. The key is to observe some beautiful factorizations that occur involving diag
From playlist Algebraic Calculus One from Wild Egg
After waking up early the morning after recording the previous two videos in this series, I had a couple of thoughts in bed that led me to a quick way of showing that Pascal's determinant is 1. So if you're primarily interested in the answer (which isn't the point of this series, but you'r
From playlist Thinking about maths problems in real time: mostly invariants problems
This is the second video of a series from the Worldwide Center of Mathematics explaining the basics of matrices. This video deals with multiplying two matrices. For more math videos, visit our channel or go to www.centerofmath.org
From playlist Basics: Matrices
Advice for research mathematicians | The joy of maxel number theory: Chebyshev polys I | Wild Egg
We are advocating a larger view of number theory which goes from arithmetic with numbers to polynumbers to maxels. In this lecture we have a look at the Chebyshev polynumbers of the first kind from this larger linear algebraic point of view. Some surprises are in store! ******************
From playlist Maxel inverses and orthogonal polynomials (non-Members)
Faulhaber's Formula and Bernoulli Numbers | Algebraic Calculus One | Wild Egg
This is a lecture in the Algebraic Calculus One course, which will present an exciting new approach to calculus, sticking with rational numbers and high school algebra, and avoiding all "infinite processes", "real numbers" and other modern fantasies. The course will be carefully framed on
From playlist Algebraic Calculus One from Wild Egg
Composites fiber orientation, stresses, and volume fraction example problem
Worked example problem for composites, fiber orientation, stress, and volume fraction calculation. Materials science engineering tutorial solution.
From playlist MSE example problems tutorial
Stirling numbers and Pascal triangles | Wild Linear Algebra A 23 | NJ Wildberger
When we interpret polynomials as sequences rather than as functions, new bases become important. The falling and rising powers play an important role in analysing general sequences through forward and backward difference operators. The change from rising powers to ordinary powers, and fro
From playlist WildLinAlg: A geometric course in Linear Algebra
Advice for Maths | The Pascal Harriot maxel and related sequences, and extending the OEIS | Wild Egg
Is there a need for a dedicated two-dimensional version of Neil Sloane's Online Encyclopedia of Integer Sequences? Now the OEIS does deal with such two-dimensional arrays, but somewhat incidentally. I think it would be useful to have an additional such resource that concentrates on the two
From playlist Maxel inverses and orthogonal polynomials (non-Members)
Here I start by explaining why Pascal's determinant is 1. Unfortunately I waste a bit of time getting small details wrong before I finally sort them out. I then try and fail, starting at around 29:17, to find a neater proof -- I'm not sure how much I would recommend watching this attempt,
From playlist Thinking about maths problems in real time: mostly invariants problems
Advice for research mathematicians | Bernoulli numbers and Faulhaber's sums of powers | WIld Egg
The Bernoulli numbers are an intriguing family of rational numbers that arise in many areas of analysis. We introduce them in the context of J. Faulhaber's formulas for sums of powers of natural numbers, which in fact give us another important family of polynomials or polynumbers. These n
From playlist Maxel inverses and orthogonal polynomials (non-Members)
An Introduction to "sequences" and discrete calculus | Algebraic Calculus One | Wild Egg
One of the serious challenges for any rigorous calculus course is finding suitable definitions of "sequences". These are the main objects of the Discrete Calculus, also sometimes called the Difference Calculus. Here we introduce the subject informally through the eyes of Thomas Harriot,
From playlist Algebraic Calculus One from Wild Egg
2 Construction of a Matrix-YouTube sharing.mov
This video shows you how a matrix is constructed from a set of linear equations. It helps you understand where the various elements in a matrix comes from.
From playlist Linear Algebra