Lesson Plan
Curated OER

MA 371 - Reduced Row Echelon Form

For Teachers 12th - Higher Ed
In this reduced row echelon form worksheet, students solve 2 short answer problems. Students find the reduced row echelon form of a matrix using row operations.
Worksheet
Curated OER

Linear Systems: Reduced Row Echelon Matrix

For Students 12th - Higher Ed
In this echelon matrix worksheet, students find the nullspace of matrices by finding the reduced row echelon. This two-page worksheet contains explanations, examples and six problems to complete.
Lesson Plan
Curated OER

MA 371 Homework 1: Vectors

For Teachers 12th - Higher Ed
In this vectors worksheet, students solve 7 short answer problems. Students find vectors that are orthogonal. Students solve systems of equations by converting matrices into reduced row echelon form.
Lesson Plan
Curated OER

MA 371 - Linear Equations 1

For Teachers 12th - Higher Ed
In this linear equations worksheet, young scholars solve 8 short answer problems. Students write augmented matrices given a system of equations in two and three variables. Young scholars express their answers using an augmented matrix in...
Lesson Plan
Curated OER

Solving Systems with Row Operations 1

For Teachers 9th - 12th Standards
Students solve systems of equations. In this algebra instructional activity, students use matrices to solve linear equations. They use reduced row echelon-form and scalar multiplier to simplify the matrices completely.
Lesson Plan
Curated OER

Linear Systems and Echelon Forms

For Teachers 11th
Eleventh graders define various types of linear systems and three types of solutions. In this linear system and echelon forms lesson, 11th graders solve a linear system using elementary row operations. Students also describe the set of...
Lesson Plan
Curated OER

Solving Systems with Row Operations 2

For Teachers 9th - 12th Standards
Have your class solve equations using matrices by teaching them how to factor systems of equation to identify the point of intersection. They create their matrices on the Ti and perform row operations to simplify.
Worksheet
Curated OER

Linear Systems: Orthogonality of Vector Spaces of a Matrix

For Students 12th - Higher Ed
In this vector spaces of a matrix worksheet, students decompose any vector into two orthogonal pieces. They identify the nullspace, row space, and find a reduced echelon. This two-page worksheet contains examples and two problems.
Lesson Plan
Curated OER

Linear Equations and Matrices

For Teachers 10th - 11th
Students solve systems of equations. In this precalculus lesson plan,students solve linear equations using matrices. They use the Gaussian elimination method to identify the missing variables and simplify the linear equations.
Lesson Plan
Curated OER

Dimension and Rank

For Teachers 10th - 12th
Students determine the dimension of a subspace.  In this dimension and rank lesson, students explore the dimension of a vector space.  They compare and explore the relationship in a matrix. 
Lesson Plan
Texas Instruments

Texas Instruments: Matrices and Vectors

For Teachers 9th - 10th Standards
For this activity, students learn to create and edit a matrix using the matrix editor. They use various features in the calculator to perform elementary row operations and convert a matrix to its reduced row echelon form. Finally they...
Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: More Gauss Jordan

For Students 9th - 10th
The tutorial examines how to solve a system by the Gauss-Jordan method. Students learn about the concept through class notes, examples, and practice problems. Topics include inconsistent systems, general solutions, and row-reduced...
Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Pivot and Gauss Jordan Tool

For Students 9th - 10th
The learning tool investigates the Gauss-Jordan method. The tool performs row operations and reduces matrices.