Row Matrix Teacher Resources

Video finding the eigenspace for the two eigenvalues for the specific 3x3 matrix from the previous video. Part of the process of solving requires finding a null space by getting a matrix into reduced row echelon form. The resulting two...

Video defining eigenspace as the set of all the eigenvectors of a matrix with a specific eigenvalue. Finds the eigenspace for the two eigenvalues found in the previous video. Part of the process of solving requires finding a null space...

Video reviews what the null space of a matrix is and how to calculate it, then relates it to linear independence. Shows that if the vectors are linearly independent then the null space is the zero vector. Also shows that if the null...

Video shows how to find the basis and dimension of the column space by finding its reduced row echelon form and using the columns corresponding to the pivot columns as the basis. Explains that rank is the dimension of the column space....

Video first reviews what the null space is and how to solve for it using reduced row echelon form. Shows that any solution to the inhomogeneous system Ax = b will be the sum of a particular solution and a homogeneous solution. Extends...

Video reviews how to find a basis for the column space and talks about how to find it more efficiently using reduced row echelon form. Shows a visualization of the column space in R3 as a plane. Shows two methods to determine the...

A video lesson explaining that a transformation matrix is invertible if and only if it is a square identity matrix in reduced row echelon form. This video is also found in the strand Algebra: Matrices. [6:37]

Video shows how to determine the inverse of a 3 by 3 matrix using the Gauss-Jordan elimination method. This video also appears in the strand Algebra: Matrices. [13:35]

Video reviews what the null space of a matrix is and how to calculate it, then relates it to linear independence. Shows that if the vectors are linearly independent then the null space is the zero vector. Also shows that if the null...

Video shows how to find the basis and dimension of the column space by finding its reduced row echelon form and using the columns corresponding to the pivot columns as the basis. Explains that rank is the dimension of the column space....

Video reviews how to find a basis for the column space and talks about how to find it more efficiently using reduced row echelon form. Shows a visualization of the column space in R3 as a plane. Shows two methods to determine the...

Video reviews how to find a basis for the column space and talks about how to find it more efficiently using reduced row echelon form. Shows a visualization of the column space in R3 as a plane. Shows two methods to determine the...

A video lesson explaining that a transformation matrix is invertible if and only if it is a square identity matrix in reduced row echelon form.

Video demonstrating how to find the determinant of a 4x4 matrix by using row operations and row replacements to get the matrix into upper triangular form. [9:13]

This lesson contains pertinent information regarding elementary operations for matrices. Step by step procedure makes completing the matrix easy.

Mathworld provides a three step explanation of Gauss-Jordan elimination. To help you better understand the process, you can click on any of the highlighted terms for definitions.

An explanation is provided regarding Gauss-Jordan method, along with a thorough example showing every step from the original system of equations to the final solution.

Students learn about matrix addition and subtraction, and scalar multiplication. The tutorial consists of class notes, examples, and practice problems. Review exercises and a chapter quiz are included.

Students explore operations with matrices. Topics examined are matrix addition, scalar multiplication, matrix multiplication, and identity matrices. Class notes and examples are included.

In this lesson, the Gaussian Elimination method is used to solve systems of linear equations. Provides several formulas and examples for understanding.

The calculator program allows learners to pivot on any entry in a matrix and perform simplification.