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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.
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Lesson Plan
Curated OER

Solving Systems with Row Operations 1

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

MA 371 - Linear Equations 1

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

Exercises for Section 5.3: Matrices

For Students 11th - Higher Ed
In this matrices worksheet, students solve 26 systems of equations using matrices. Students solve each system using matrices. Students determine the rank and solutions of each matrix using row echelon form of each system.
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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.
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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.
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Lesson Plan
Curated OER

MA 371 Homework 2: Matrices

For Teachers 12th - Higher Ed
In this matrices worksheet, students solve 10 short answer problems. Students perform row operations on matrices to find compliments, inverted matrices, orthogonal matrices, etc.
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Worksheet
Curated OER

Row-Echelon Matrices

For Students 10th - 12th
In this algebra worksheet, students rewrite linear equations using matrices and solve using row-echelon form. There are 30 problems ranging from one equation to system of equations.
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Lesson Plan
Curated OER

Matrices

For Teachers 8th - 10th
Students explore matrices. Given a particular situation, they discover the make-up and design of a matrix. Students identify examples of rectangular arrays used in real world situations. They solve oral problems in class.
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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 plan, 11th graders solve a linear system using elementary row operations. Students also describe the set...
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Activity
PBL Pathways

Gas Prices

For Teachers 10th - Higher Ed Standards
How can math help your vehicle run better? Complete an interesting project-based learning task with your classes to determine the cheapest approach to mixing the ideal octane level of gasoline. Scholars create and solve a system of...
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Lesson Plan
Curated OER

Linear Equations and Matrices

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

Linear Systems: Reduced Row Echelon Matrix

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

Comparing Fairy Tales

For Teachers 2nd - 3rd
Students read and review common fairy tales and come up with a list of characteristics from them. The Teacher models filling out either a compare & contrast graphic organizer comparing two fairy tales.
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Lesson Plan
Curated OER

Eigenvalues, Eigenvectors, and Diagonalization

For Teachers Higher Ed
Students determine eigenvectors and eigenvalues for a matrix. Students diagonalize a matrix. Similar matrices are defined. Determinant formula is given for an degree n polynomial.
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Instructional Video
Khan Academy

Khan Academy: Linear Algebra: Reduced Row Echelon Form 3

For Students 9th - 10th Standards
Video shows another example of using matrices and reduced row echelon form to simplify a system of 3 equations in 4 variables. Explains how to determine how many solutions the system will have by looking at the reduced row echelon form....
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Instructional Video
Khan Academy

Khan Academy: Linear Algebra: Reduced Row Echelon Form 1

For Students 9th - 10th Standards
Video shows how to use matrices and reduced row echelon form to simplify a system of 3 equations in 4 variables. Shows how the system relates to vectors to help visualize what the solution represents. This video also appears in the...
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Instructional Video
Khan Academy

Khan Academy: Linear Algebra: Reduced Row Echelon Form 2

For Students 9th - 10th Standards
Video shows example of using matrices and reduced row echelon form to solve a system of 3 equations in 3 variables. This video also appears in the strand Algebra: Matrices. [7:37]
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Instructional Video
Khan Academy

Khan Academy: Linear Algebra: Reduced Row Echelon Form 2

For Students 9th - 10th Standards
Video shows example of using matrices and reduced row echelon form to solve a system of 3 equations in 3 variables. This video also appears in the strand Algebra: Matrices. [7:37]
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Instructional Video
Khan Academy

Khan Academy: Matrices: Reduced Row Echelon Form 2

For Students 9th - 10th Standards
This video shows an example of solving a system of linear equations by putting an augmented matrix into reduced row echelon form.
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Instructional Video
Khan Academy

Khan Academy: Solving Systems by Elimination: Reduced Row Echelon Form 1

For Students 9th - 10th Standards
Video shows how to use matrices and reduced row echelon form to simplify a system of 3 equations in 4 variables.
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Handout
Varsity Tutors

Varsity Tutors: Hotmath: Algebra Review: Matrix Row Operations

For Students 9th - 10th
Find a quick, concise explanation of the three basic matrix row operations. Examples are given and clearly explained for each of the operations: switching rows, multiplying a row by a number and adding rows/multiples of rows.
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Instructional Video
Khan Academy

Khan Academy: Linear Algebra: Determinant After Row Operations

For Students 9th - 10th Standards
A video lesson proving that the determinant of a matrix does not change even after performing row operations on the matrix. [10:25]
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Unknown Type
Khan Academy

Khan Academy: Precalculus: Matrix Row Operations

For Students 9th - 10th Standards
Determine the matrix that is the result of performing a specific row operation on a given matrix. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

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