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Lesson Plan
EngageNY

When Can We Reverse a Transformation? 1

For Teachers 11th - 12th Standards
Wait, let's start over — teach your class how to return to the beginning. The first lesson looking at inverse matrices introduces the concept of being able to undo a matrix transformation. Learners work with matrices with a determinant...
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Lesson Plan
EngageNY

When Can We Reverse a Transformation? 3

For Teachers 11th - 12th Standards
When working with matrix multiplication, it all comes back around. The 31st portion of the unit is the third lesson on inverse matrices. The resource reviews the concepts of inverses and how to find them from the previous two lessons....
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Worksheet
Curated OER

Linear Systems: The Inverse Matrix

For Students Higher Ed
In this inverse matrix worksheet, students find the product of matrices. They generate an inverse matrix using the Gauss-Jordan elimination method. This two-page worksheet contains explanations, examples and two practice problems.
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Lesson Plan
Curated OER

Chapter 6 Worksheet: Math 210. Matrices

For Teachers 11th - Higher Ed
In this matrices worksheet, young scholars define a matrix. They multiply matrices, and find the inverse of them. This one-page worksheet contains approximately 20 problems.
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Worksheet
Curated OER

How To Organize Data into Matrices

For Students 10th - 11th
In this matrix worksheet, students organize given data into matrices and answer questions from given matrices.  Explanations, definitions, and examples are provided.
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Worksheet
Curated OER

Matrices

For Students 11th
For this Algebra II worksheet, 11th graders solve problems that involve matrix representation, matrix operations, solving systems with inverse matrices, row reduction, and systems of inequalities. The six page worksheet contains twenty...
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Worksheet
Curated OER

Linear Systems: LU Decomposition

For Students 12th - Higher Ed
In this LU decomposition activity, students multiply matrices, identify the elimination matrices, and the inverse of a matrix. This three-page activity contains approximately six problems.
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Worksheet
Curated OER

Inverse Matrices

For Students 9th - 11th
In this algebra worksheet, students solve matrices using the inverse property. They solve the matrices using multiplications. There are 18 questions with an answer key.
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Worksheet
Curated OER

Algebra 2 Test

For Students 10th - 11th
In this algebra 2 activity, learners solve 13 systems of equations where they must identify and solve problems using matrices. This would be a great review activity.
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Worksheet
Curated OER

Matrices

For Students 11th
In this Algebra II worksheet, 11th graders determine if matrices are inverses, multiply matrices, and solve matrix equations. The three page worksheet contains explanation of topic, worked examples, and five practice problems. Answers...
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Worksheet
Curated OER

Multivariable Calculus: Linear Systems

For Students 12th - Higher Ed
In this linear system worksheet, students compute the determinant of a given matrix. They solve systems of equations and compute the inverse of a matrix. This two-page worksheet contains examples, explanations, and three multi-step...
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Worksheet
Curated OER

Linear Systems and Reviewing for Exam 2

For Students 11th - Higher Ed
In this math worksheet, students practice reviewing the different method to find the inverse for a matrix. They compute the determinant of a matrix.
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Worksheet
Curated OER

Linear Systems: Matrix Inverse

For Students 11th - Higher Ed
In this linear systems activity students multiply matrices and find the coefficient matrix in the upper-triangular form. This four-page activity contains approximately four problems, with examples and explanations.
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Worksheet
Curated OER

Adding and Subtracting Matrices

For Students 9th - 11th
In this adding and subtracting matrices worksheet, students add 2 sets of matrices and subtract one. They are introduced to the rules of adding and subtracting matrices.
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Worksheet
Curated OER

Linear Systems: Orthogonal Matrices

For Students 11th - Higher Ed
In this orthogonal matrices worksheet, students explore characteristics of an orthogonal matrix. They use Gram-Schmidt to convert linearly independent vectors to orthonormal vectors. This three-page worksheet contains approximately six...
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Lesson Plan
Curated OER

Linear Equations

For Teachers 11th - 12th
Students solve systems of linear equations by using inverse matrices lead by a class discussion. They write the identities of the matrices given, review, and grade as a class. Students also write the matrix as the product of the...
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Unit Plan
EngageNY

Complex Numbers and Transformations

For Teachers 11th - 12th Standards
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
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Lesson Plan
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1
EngageNY

Solving Equations Involving Linear Transformations of the Coordinate Plane

For Teachers 11th - 12th Standards
How can matrices help us solve linear systems? Learners explore this question as they apply their understanding of transformation matrices to linear systems. They discover the inverse matrix and use it to solve the matrix equation...
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Lesson Plan
1
1
EngageNY

Solving Equations Involving Linear Transformations of the Coordinate Space

For Teachers 11th - 12th Standards
Explore methods for solving linear systems with your classes and introduce learners to using matrices as a viable method. Scholars are able to recognize situations where matrices are the efficient method of solving. Application questions...
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Lesson Plan
1
1
EngageNY

Solving General Systems of Linear Equations

For Teachers 11th - 12th Standards
Examine the usefulness of matrices when solving linear systems of higher dimensions. The lesson asks learners to write and solve systems of linear equations in four and five variables. Using matrices, pupils solve the systems and apply...
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Worksheet
Curated OER

Linear Systems: The Matrix Inverse

For Students Higher Ed
In this matrix inverse worksheet, students identify a matrix which when multiplied by a coefficient matrix, it transforms into an identify matrix. They use the Gauss-Jordan elimination process to find an inverse matrix. This four-page...
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Assessment
EngageNY

End-of-Module Assessment Task: Pre-Calculus Module 2

For Students 11th - 12th Standards
Assess pupil understanding of the relationship between matrices, vectors, linear transformations, and parametric equations. Questions range from recall to more complex levels of thinking. Problems represent topics learned throughout the...
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Assessment
EngageNY

End-of-Module Assessment Task — Precalculus (Module 1)

For Teachers 11th - 12th Standards
A transformational assessment determines how far pupils are advancing toward mastering complex and matrix standards. The assessment checks the learners' understanding of linear transformations, complex numbers and the complex plane,...
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Lesson Plan
Curated OER

Matrix Math

For Teachers 10th
Tenth graders practice adding, subtracting, and multiplying matrices. After completing and reviewing bell ringer problems they review homework from night before and discuss any questions. Students are introduced to new matrix...

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