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Determinants: 2x2 and 3x3 Matrices
For this Algebra II worksheet, 11th graders find the determinant of 2x2 or 3x3 matrix and use the determinant to find the inverse of the matrix. The two page worksheet contains explanation of topic, a worked example, and three practice...
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When Can We Reverse a Transformation? 2
The second lesson on finding inverse matrices asks class members to look for a pattern in the inverse matrix and test it to see if it works for all matrices. The teacher leads a discussion to refine the process in finding inverses, then...
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When Can We Reverse a Transformation? 1
Wait, let's start over — teach your class how to return to the beginning. The first instructional activity looking at inverse matrices introduces the concept of being able to undo a matrix transformation. Learners work with matrices with...
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When Can We Reverse a Transformation? 3
When working with matrix multiplication, it all comes back around. The 31st portion of the unit is the third instructional activity on inverse matrices. The resource reviews the concepts of inverses and how to find them from the previous...
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Solve Four Systems of Equations Using Inverse Matrices
In this inverse matrices worksheet, students solve four systems of equations using inverse matrices. Examples and explanations are provided.
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Topic 4.5 - Identity and Inverse Matrices
In this inverse matrix worksheet, students find the inverse of 9 matrices. If the inverse does not exist, they explain why. Students then determine whether each of 4 inverse statements is true or false.
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Linear Systems: The Inverse Matrix
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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How To Organize Data into Matrices
In this matrix activity, students organize given data into matrices and answer questions from given matrices. Explanations, definitions, and examples are provided.
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Matrices
In 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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Inverse Matrices
In this algebra instructional activity, 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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Matrices
In this Algebra II learning exercise, 11th graders determine if matrices are inverses, multiply matrices, and solve matrix equations. The three page learning exercise contains explanation of topic, worked examples, and five practice...
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Adding and Subtracting Matrices
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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Linear Systems: Orthogonal Matrices
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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Algebra 2 Test
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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Linear Equations
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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Complex Numbers and Transformations
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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Solving Equations Involving Linear Transformations of the Coordinate Plane
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...
EngageNY
Solving Equations Involving Linear Transformations of the Coordinate Space
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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Solving General Systems of Linear Equations
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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End-of-Module Assessment Task: Pre-Calculus Module 2
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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End-of-Module Assessment Task — Precalculus (Module 1)
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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Matrix Math
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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Multivariable Calculus: Implicit Differentiation
In this implicit differentiation worksheet, students compute the determinant of the Jacobian matrix and solve equations by implicit differentiation. This two-page worksheet contains definitions, examples, and explanations. It contains...
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Academic Algebra II Test Chapter 4, Part 2
For this test of knowledge worksheet, students answer 2 story problems, they solve 6 systems of equations. Students multiply 2 maxrix sets. They determine the inverse of two matrices. Students determine the linear regression line for two...