Instructional Video9:40
Professor Dave Explains

Further Matrix Decompositions: LU, Cholesky, QR, and SVD

9th - Higher Ed
We've learned about matrix diagonalization, which is a type of matrix decomposition. There are some others that we must learn, including LU decomposition, Cholesky decomposition, QR decomposition, and singular value decomposition. Let's...
Instructional Video15:35
Why U

Algebra 55 - Gauss-jordan Elimination

12th - Higher Ed
A system of linear equations in matrix form can be simplified through the process of Gauss-Jordan elimination to reduced row echelon form. At that point, the solutions can be determined directly from the matrix, without having to...
Instructional Video59:02
TMW Media

Gaussian Elimination & Gauss-Jordan Elimination

K - 5th
This program covers the very important topic of Cramer's Rule in matrix algebra. Cramer's Rule is an alternative method used to solve a system of equations. Cramer's Rule is especially useful because it can be applied to a wide range...
Instructional Video16:39
Professor Dave Explains

Finding Eigenvalues and Eigenvectors

9th - Higher Ed
Defining eigenvalues and eigenvectors, and outlining how to solve for them given a particular matrix.
Instructional Video
Sophia Learning

Sophia: Using Elementary Row Operations to Solve Systems of Equations: Lesson 1

9th - 10th
This lesson presents how to use elementary row operations to solve for a system of linear equations. It is 1 of 4 in the series titled "Using Elementary Row Operations to Solve for Systems of Equations."
Instructional Video
Sophia Learning

Sophia: Row Operations: Lesson 2

9th - 10th
This lesson introduces the basic row operations that can be performed on matrices, explaining why they are valid things to do and providing examples of each. It is 2 of 9 in the series titled "Row Operations."
Instructional Video
Sophia Learning

Sophia: Row Operations: Lesson 4

9th - 10th
This lesson introduces the basic row operations that can be performed on matrices, explaining why they are valid things to do and providing examples of each. It is 4 of 9 in the series titled "Row Operations."
Instructional Video
Sophia Learning

Sophia: Row Operations: Lesson 5

9th - 10th
This lesson introduces the basic row operations that can be performed on matrices, explaining why they are valid things to do and providing examples of each. It is 5 of 9 in the series titled "Row Operations."
Instructional Video
Sophia Learning

Sophia: Row Operations: Lesson 8

9th - 10th
This lesson introduces the basic row operations that can be performed on matrices, explaining why they are valid things to do and providing examples of each. It is 8 of 9 in the series titled "Row Operations."
Instructional Video
Sophia Learning

Sophia: Row Operations: Lesson 9

9th - 10th
This lesson introduces the basic row operations that can be performed on matrices, explaining why they are valid things to do and providing examples of each. It is 9 of 9 in the series titled "Row Operations."