3Blue1Brown
Cramer's rule, explained geometrically | Essence of linear algebra, chapter 12
What Cramer's rule is, and a geometric reason it's true
3Blue1Brown
Change of basis: Essence of Linear Algebra - Part 13 of 15
What is a change of basis, and how do you do it?
3Blue1Brown
Change of basis | Essence of linear algebra, chapter 13
What is a change of basis, and how do you do it?
3Blue1Brown
Cramer's rule, explained geometrically: Essence of Linear Algebra - Part 12 of 15
This rule seems random to many students, but it has a beautiful reason for being true.
3Blue1Brown
Cross products | Essence of linear algebra, Chapter 10
The cross product is a way to multiple to vectors in 3d. This video shows how to visualize what it means.
3Blue1Brown
Change of basis | Essence of linear algebra, chapter 9
What is a change of basis, and how do you do it?
3Blue1Brown
Linear combinations, span, and basis vectors: Essence of Linear Algebra - Part 2 of 15
Some foundational ideas in linear algebra: Span, linear combinations, and linear dependence.
3Blue1Brown
Linear combinations, span, and basis vectors | Essence of linear algebra, chapter 2
Some foundational ideas in linear algebra: Span, linear combinations, and linear dependence.
3Blue1Brown
Linear transformations and matrices | Essence of linear algebra, chapter 3
When you think of matrices as transforming space, rather than as grids of numbers, so much of linear algebra starts to make sense.
Curated Video
Fundamentals of Neural Networks - Forward Propagation in RNN
The forward propagation in an RNN makes a few assumptions: 1) We assume the hyperbolic tangent activation function for the hidden layer. 2) We assume that the output is discrete as if the RNN is used to predict words or characters. This...
Curated Video
Fundamentals of Neural Networks - Forward Propagation
This video explains forward propagation and will dive deeper into the architecture of neural networks. This clip is from the chapter "Artificial Neural Networks" of the series "Fundamentals in Neural Networks".This section explains...
Math Fortress
Calculus III: Two Dimensional Vectors (Level 9 of 13)
This video is a review of Two Dimensional Vectors. This video goes over unit vectors, standard unit vectors and direction of vectors.
Brian McLogan
Learn how to eliminate the parameter and identify the rectangular graph
Learn how to eliminate the parameter in a parametric equation. A parametric equation is a set of equations that express a set of quantities as explicit functions of a number of independent variables, known as parameters. Eliminating the...
Curated Video
Solving Systems of Equations using Linear Combination
In this video, we learn how to solve a system of equations using linear combination, also known as elimination. The teacher explains the process step by step and provides examples to demonstrate the concept. By adding the two equations...
APMonitor
Visualization Case Study: Concrete Strength
Concrete mixtures have several variations. This data set is a case study for data visualization and exploration to predict the concrete compressive strength (MPa). 0:00 Introduction 0:20 Concrete Case Study 1:52 Jupyter Notebook Source...
Brian McLogan
Finding the magnitude and direction of a vector from a word problem
In this video series you will learn multiple math operations. I teach in front of a live classroom showing my students how to solve math problems step by step. My math tutorials should be used to review previous lessons, complete your...
Brian McLogan
Learn to write the resultant vector from the difference of two vectors
Learn how to add/subtract vectors. Vectors can be added, subtracted and multiplied. To add or subtract two or more vectors, we simply add each of the corresponding components of the vectors.
Brian McLogan
Summary of vectors
in this video series I will show you how to find the angle of a vector when given in component form or as a linear combination. To understand the direction of a vector it is important to go back to the unit circle and determine how we...
Brian McLogan
How to determine the angle of a vector as well as use angles to represent vectors
Learn how to determine the magnitude and direction of a vector. The magnitude of a vector is the length of the vector. The magnitude of a vector is obtained by taking the square root of the sum of the squares of the components of the...
Brian McLogan
How to eliminate the parameter with two trigonometric equations
Learn how to eliminate the parameter in a parametric equation. A parametric equation is a set of equations that express a set of quantities as explicit functions of a number of independent variables, known as parameters. Eliminating the...
Brian McLogan
How to find the difference of two vectors
Learn how to add/subtract vectors. Vectors can be added, subtracted and multiplied. To add or subtract two or more vectors, we simply add each of the corresponding components of the vectors.
Why U
Algebra 58 - Gauss-Jordan Elimination with Dependent Systems
This chapter builds on Algebra chapter 57 which explained the concept of dependency. In this chapter, we see that although it can sometimes be difficult to spot when a system of linear equations is dependent, when a dependent system is...
Brian McLogan
Graphing a vector by applying a negative scalar
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...
Brian McLogan
Determine the dot product between two vectors
Learn how to determine the dot product of vectors. The dot product of two vectors also called the scalar product of the vectors is the sum of the product of the components of the vectors in each direction. When the magnitudes of the...