Getty Images
A green matrix of data flows inside the display of a laptop.
A green matrix of data flows inside the display of a laptop.
Getty Images
A laptop displaying a matrix becomes silhouetted against a black background.
A laptop displaying a matrix becomes silhouetted against a black background.
Getty Images
Data in a matrix flows through a black tunnel.
Data in a matrix flows through a black tunnel.
Getty Images
A white laptop displaying a matrix transitions to a black silhouette on a white background.
A white laptop displaying a matrix transitions to a black silhouette on a white background.
Getty Images
Glowing numbers float down in front of a black background.
Glowing numbers float down in front of a black background.
Crash Course
Make an AI Sound Like a YouTuber (LAB): Crash Course AI #8
AI is so smart that it can finish people's sentences. The eighth installment of the Crash Course Artificial Intelligence series has pupils create a program that completes written sentences. They learn about tokenization, vectors, and...
Corbett Maths
Column Vectors
Column right! Using visual representations, a short video introduces the concept of column vectors. Next, the resource shows how adding two vectors end-to-end is simplified by adding the components in the column vector. The presentation...
3Blue1Brown
Eigenvectors and Eigenvalues | Essence of Linear Algebra, Chapter 10
Find vectors that stay on their spans after a linear transformation. The 14th video in the series of 15 introduces the concept of eigenvectors, vectors that are only scaled during a linear transformation. The presentation illustrates the...
3Blue1Brown
Change of Basis | Essence of Linear Algebra, Chapter 9
It is all about perspective. A video introduces the idea that the view of a vector all depends upon the perspective of the basis vectors. Knowing how to go from one coordinate system's basis vectors to another system's basis vectors...
3Blue1Brown
Cross Products in the Light of Linear Transformations | Essence of Linear Algebra Chapter 8 Part 2
What do cross products and parallelpipeds have in common? The video discusses the geometric representation of the cross product. The geometric interpretation explains why the computational trick in calculating the cross product works.
3Blue1Brown
Cross Products | Essence of Linear Algebra, Chapter 8
Equate the area of a parallelogram with the magnitude. The 11th installment in a 15-video series introduces the concept of the cross product of two vectors. The presentation makes the geometric connection between the cross product, the...
3Blue1Brown
Dot Products and Duality | Essence of Linear Algebra, Chapter 7
The dot product of two matrices is a number on the number line, its transformation. The resource presents the dot product as a linear transformation from two dimensions to one dimension. The video uses the numerical and graphical...
3Blue1Brown
Nonsquare Matrices as Transformations Between Dimensions | Essence of Linear Algebra, Footnote
But what happens if the matrix is not square? The ninth video in a series of 15 serves as a footnote to discuss non-square matrices. The resource presents them as transformations between two and three dimensions. The presentation...
3Blue1Brown
Inverse Matrices, Column Space and Null Space | Essence of Linear Algebra, Chapter 6
Determine the geometric representation to the solution of a system of linear equations. The resource shows how scholars can represent a system of linear equations as a linear transformation. The video discusses using an inverse...
3Blue1Brown
The Determinant | Essence of Linear Algebra, Chapter 5
Determine how much a linear transformation alters area. The seventh segment in a series of 15 makes the connection between the determinant and the scale factor of areas during a linear transformation. The video goes on to explain the...
3Blue1Brown
Three-dimensional Linear Transformations | Essence of Linear Algebra, Footnote
Bring it all to three dimensions. The short video points out that the discussion in the previous presentations in two dimensions also holds true for three dimensions. The sixth video in the series of 15 specifically makes the...
3Blue1Brown
Matrix Multiplication as Composition | Essence of Linear Algebra, Chapter 4
Take a different view at matrix multiplication. Based on vector transformations, the video presents matrix multiplication as the result of the composition of multiple linear transformations. The presentation explains the numerical...
3Blue1Brown
Linear Transformations and Matrices | Essence of Linear Algebra, Chapter 3
Are all transformations of the plane linear transformations? The video provides examples of transformations of the plane and provides the definition of linear transformations. The resource begins the discussion of using matrix...
3Blue1Brown
Essence of Linear Algebra Preview
Make connections with linear algebra. The video introduces the concept of linear algebra and its geometric underpinnings. The resource makes the case that a complete understanding of linear algebra topics should include geometric...
Crash Course
Data Structures: Crash Course Computer Science #14
Investigate an array of data structures. A video explains how computer programming relies on the ability to store and access data. It covers various data structures, including arrays, matrices, nodes, linked lists, trees, heaps, and stacks.
PBS
The Mathematics of Quantum Computers
Scholars learn about the basics of quantum computing, starting with Schrodinger's Cat through a video that explains the mathematics behind quantum computers, including the representation of quantum gates as matrices.
TED-Ed
What is a Vector?
A vector contains magnitude and direction. The video and associated questions introduce the class to vectors that are made up of scalars and displacement. Pupils read more about vectors to find them in real life and how they are used in...
Krista King Math
Solving Systems of Equations with Cramer's Rule
Show how matrices can be helpful for solving systems of equations. The video illustrates an example of solving a two-variable system utilizing Cramer's Rule. The instructor shows how to find the determinant of each matrix and then uses...
Brightstorm
Square Matrices - Concept
No, matrices are not what mathematicians sleep on. Lesson begins with identifying the dimensions of matrices then moves on to multiply them. It also provides guided practice problems that get progressively more complex.