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.
Curated OER
What is a Matrix?
Matrix, matrices, what? The instructor demonstrates how to set up a matrix and explains the rows and columns. There are many uses for matrices and this is just the beginning.
Curated OER
Finding the Dot Product
Are you just starting a unit of vectors or matrices? Help your class learn how to find the dot product with this simplistic video tutorial. The procedure is shown as the tutor determines the dot product of A and B by transposing numbers...
Curated OER
What is a Matrix?
Matrix, matrices, what? The instructor demonstrates how to set up a matrix and explains the rows and columns, the dimensions. There are many uses for matrices and this is just the beginning.
Curated OER
How Do You Multiply a Matrix by a Scalar?
The instructor in this video shows an example of how to multiply a matrix by the scalar number.
Curated OER
Multiplying Two Small Matrices
This clip is intended to assist learners practice and assess matrices being multiplied. The tutor explains, identifies, and describes how to evaluate each matrix, he then shows how he multiplies them together. There are some steps that...
Massachusetts Institute of Technology
Mit: Blossoms: Arabesque: Where Art Meets Mathematics
Through a video lecture, students discover the visual side of the important applications of mathematics in practical life. More specifically, they will understand the relationship of mathematics and decoration or art.
Khan Academy
Khan Academy: Algebra: Matrices: Matrix Multiplication (Part 2)
This lesson goes through three examples of matrix multiplication. Explains how the dimensions of matrices affect whether or not the matrices can be multiplied, how to determine if they can be multiplied, and what size the resulting...
Khan Academy
Khan Academy: Linear Algebra: Inverse Matrix (Part 1)
Video first explains and gives examples of identity matrices. Then explains what an inverse matrix is and shows how to calculate the inverse of a 2x2 matrix. [14:14]
Other
Represent Data With Matrices hsn.vm.c.6
A clear introduction by a high school teacher to the fundamentals of how to use matrices to represent data, including the basics of what a matrix is. Includes lots of examples for different contexts. [8:55]
Sophia Learning
Sophia: Singular and Non Singular Matrices: Lesson 2
This lesson introduces the notion of a singular matrix and provides a shortcut to determine whether or not a given 2x2 matrix is singular. It is 2 of 5 in the series titled "Singular and Non-Singular Matrices."
Sophia Learning
Sophia: Using Matrices to Organize Data: Lesson 4
This lesson provides real-world examples that demonstrate how to organize data into matrices. It is 4 of 5 in the series titled "Using Matrices to Organize Data." [8:40]
Khan Academy
Khan Academy: Algebra: Matrices: Matrix Multiplication (Part 1)
A lesson on multiplying matrices. Gives an example of two 2 X 2 matrices being multiplied. Illustrates that matrix multiplication is not commutative and that the order in which matrices are multiplied is important. [13:41]