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...
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.
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: Transpose of a Matrix
Video explaining that the transpose of a matrix is created by switching rows and columns. The idea is shown abstractly and specifically with 2x2 matrix and 4x3 matrix. Also shows that the transpose of a transpose is the original matrix....
Khan Academy
Khan Academy: Linear Algebra: Transposes of Sums and Inverses
Video explaining two properties of transpose matrices: that the transpose of the sum of two matrices is equivalent to the sum of the transpose of each matrix and that the inverse of the transpose of a matrix is equivalent to the...
Khan Academy
Khan Academy: Linear Algebra: Transpose of a Matrix Product
Video demonstrating that the transpose of the product of two matrices is equivalent to the product of their transposes in reversed order. [8:50]
Khan Academy
Khan Academy: Linear Algebra: Singular Matrices
Video explains why a matrix is singular if its determinant is 0. Illustrates that when a matrix equation is built with a singular matrix, then there are no solutions because the system it represents is that of two parallel lines. Shows...
Khan Academy
Khan Academy: Linear Algebra: Matrix Product Examples
Video shows example of multiplying matrices. Includes explanation of the dimensions needed in order for matrices to be able to be multiplied. Connects to the composition of linear transformations. This video also appears in the strand...
Khan Academy
Khan Academy: Linear Algebra: Matrices to Solve a Vector Combination Problem
Demonstrates how to find the appropriate combination of two given vectors in order to obtain a third given vector. This is done by representing the problem with a single matrix equation and solving that equation. [14:20]
Khan Academy
Khan Academy: Linear Algebra: More on Matrix Addition and Scalar Multiplication
Video reviews what was shown in the previous video that the sum of two linear transformations is the sum of their transformation matrices and the scalar multiple of a transformation is the scalar multiple of the transformation matrix....
Sophia Learning
Sophia: Writing Systems of Equations With Augmented Matrices
This lesson demonstrates how to write systems of equations as augmented matrices. Students can watch a tutorial video and then take a quiz.
Virtual Nerd
Virtual Nerd: How Do You Subtract Matrices?
Instructional video illustrates the steps of subtracting matrices. [4:19]
Virtual Nerd
Virtual Nerd: How Do You Multiply a Matrix by a Scalar?
To multiply a matrix by a scalar, just multiply each element in the matrix by the scalar. View this tutorial to see the entire process. [2:28]
Khan Academy
Khan Academy: Invertible Change of Basis Matrix
Using an invertible change of basis matrix to go between different coordinate systems.
Khan Academy
Khan Academy: Linear Algebra: Singular Matrices
Video explains why a matrix is singular if its determinant is 0. Relates why the inverse does not exist to solving systems of linear equations and vector combinations. This video also appears in the strand Algebra: Matrices. [14:27]
Khan Academy
Khan Academy: Inverting Matrices: Singular Matrices
Video explains why a matrix is singular if its determinant is 0. Relates why the inverse does not exist to solving systems of linear equations and vector combinations.
Khan Academy
Khan Academy: Basic Matrix Operations: Matrix Addition and Subtraction
Adding and subtracting matrices.
Sophia Learning
Sophia: Scalar Multiplication
Explore how to multiply matrices using scalar multiplication and then assess learning with a quiz. [6:23]
Khan Academy
Khan Academy: Basic Matrix Operations: Transpose of a Matrix
A video of how to transpose a matrix. [3:42]
Khan Academy
Khan Academy: Linear Algebra: More on Matrix Addition and Scalar Multiplication
Video reviews what was shown in the previous video that the sum of two linear transformations is the sum of their transformation matrices and the scalar multiple of a transformation is the scalar multiple of the transformation matrix....
Khan Academy
Khan Academy: Linear Algebra: More on Matrix Addition and Scalar Multiplication
Video reviews what was shown in the previous video that the sum of two linear transformations is the sum of their transformation matrices and the scalar multiple of a transformation is the scalar multiple of the transformation matrix....
Khan Academy
Khan Academy: More on Matrix Addition and Scalar Multiplication
Video shows that the sum of two linear transformations is the sum of their transformation matrices and the scalar multiple of a transformation is the scalar multiple of the transformation matrix.
Sophia Learning
Sophia: Matrix Multiplication: Lesson 4
This lesson introduces matrix multiplication, distinguishes it from multiplying by a scalar, and provides examples of the operation. It is 4 of 2 in the series titled "Matrix Multiplication."
Sophia Learning
Sophia: Matrix Multiplication: Lesson 8
This lesson introduces matrix multiplication, distinguishes it from multiplying by a scalar, and provides examples of the operation. It is 8 of 2 in the series titled "matrix multiplication."