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\n\"Solve\n\n
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\nLesson Planet Curated\n
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\nSolve Systems of Equations Using Matrices: Common Core High School Algebra\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nThere's more than one way to solve a system by using matrices. These two standards address how to represent a system as a matrices and then to find the inverse if its exists. The collection includes lessons and practice for your students...\n
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\n\n15\nItems in Topic\n\n
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\n\"Essence\n\n
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\nLesson Planet Curated\n
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\nEssence of Linear Algebra\n

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\n\nFor Teachers\n\n11th - Higher Ed\n\nStandards\n
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\nThe 15 videos in the Essence of Linear Algebra collection teach students how to understand the numerical operations of matrices as well as the geometric intuitions underlying them. The first video in the series details the rationale...\n
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Instructional Video12:09
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\n\"Inverse\n\n
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\nInverse Matrices, Column Space and Null Space | Essence of Linear Algebra, Chapter 6\n

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\n\nFor Students\n\n11th - Higher Ed\n\nStandards\n
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\nDetermine the geometric representation to the solution of a system of linear equations. The resource shows how scholars can represent a system of linear equations as a linear transformation. The video discusses using an inverse...\n
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\n\"All\n\n
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\nCurated OER\n
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\nAll Systems Go! \n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nSecret codes are so much fun, and a great way to practice nearly any math skill. Let your class become code breakers as they investigate inverse matrices. They use TI-Nspire technology to solve systems of equations which help them crack...\n
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\n\"Systems\n\n
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\nCurated OER\n
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\nSystems of Linear Equations\n

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\n\nFor Teachers\n\n9th - 11th\n
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\nIntroduce the inverse matrix method to solve systems of linear equations both algebraically and graphically. Using given data, your class checks their answers with graphing calculators. Handouts are included in this well-thought out...\n
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\n\"NUMB3RS\n\n
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\nNUMB3RS Activity: Coded Messages\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nUsing matrix multiplication and inverse matrices, learners are trying to uncode a coded message. Students encrypt simple messages using 2 x 2 matrices.\n
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\n\"Solve\n\n
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\nSolve Four Systems of Equations Using Inverse Matrices\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this inverse matrices worksheet, students solve four systems of equations using inverse matrices.  Examples and explanations are provided.\n
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\n\"Topic\n\n
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\nCurated OER\n
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\nTopic 4.5 - Identity and Inverse Matrices\n

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\n\nFor Students\n\n7th - 9th\n
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\nIn 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.\n
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\n\"Linear\n\n
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\nCurated OER\n
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\nLinear Systems: The Inverse Matrix\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn 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.\n
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\n\"Linear\n\n
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\nCurated OER\n
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\nLinear Equations\n

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\n\nFor Teachers\n\n11th - 12th\n
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\nYoung scholars 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...\n
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\n\"When\n\n
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\nEngageNY\n
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\nWhen Can We Reverse a Transformation? 2\n

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\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
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\nThe 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,...\n
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\nWhen Can We Reverse a Transformation? 1\n

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\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
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\nWait, 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...\n
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\n\"When\n\n
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\nWhen Can We Reverse a Transformation? 3\n

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\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
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\nWhen 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....\n
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\n\"Solving\n\n
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\nEngageNY\n
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\nSolving Equations Involving Linear Transformations of the Coordinate Plane\n

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\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
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\nHow 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...\n
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\n\"Using\n\n
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\nEngageNY\n
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\nUsing Matrix Operations for Encryption\n

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\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
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\nData encryption is an important security measure for sensitive data stored on computers. Pupils learn how to utilize matrices for creating code. They also get a great review of matrix multiplication, inverse matrices, and the identity...\n
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\n\"Inverse\n\n
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\nCurated OER\n
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\nInverse Matrices\n

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\n\nFor Students\n\n9th - 11th\n
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\nIn this algebra worksheet, students solve matrices using the inverse property. They solve the matrices using multiplications. There are 18 questions with an answer key.\n
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Lesson Plan
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\n\"Solving\n\n
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\nSolving Systems Using Matrices\n

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\n\nFor Teachers\n\n9th - 11th\n\nStandards\n
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\nExplore the concept of systems of equations in two variables and use matrices to solve them. Young mathematicians enter coefficients and constants into a matrix and then solve using row reduction. Instructions on how to use the shortcut...\n
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\n\"Secret\n\n
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\nCurated OER\n
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\nSecret Messages and Matrices\n

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\n\nFor Teachers\n\n9th - 11th\n
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\nStudents use matrices and linear equations to decrypt a secret message. They receive a part of the encoded message to decode by means of inverse matrices. Pupils write critiques about the activity.\n
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\n\"Academic\n\n
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\nCurated OER\n
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\nAcademic Algebra II Test Chapter 4, Part 2\n

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\n\nFor Students\n\n9th - 12th\n
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\nIn 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...\n
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\n\"Multivariable\n\n
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\nCurated OER\n
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\nMultivariable Calculus: Linear Systems\n

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\n\nFor Students\n\n12th - Higher Ed\n
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\nIn 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...\n
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\n\"Module\n\n
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\nMathematics Vision Project\n
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\nModule 10: Matrices Revisited\n

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\n\nFor Students\n\n10th - 12th\n\nStandards\n
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\nA matrix is just a fancy way of making a table. Young scholars explore operations with matrices with the first lessons in the final module of a 10-unit Algebra II series. After adding, subtracting, and multiplying matrices, pupils use...\n
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Lesson Plan
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\n\"Solving\n\n
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\nEngageNY\n
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\nSolving Equations Involving Linear Transformations of the Coordinate Space\n

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\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
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\nExplore 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...\n
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Lesson Plan
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\nEngageNY\n
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\nSolving General Systems of Linear Equations\n

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\nExamine 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...\n
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\n\"Matrix\n\n
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\nMatrix Madness!!\n

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\n\nFor Teachers\n\n9th - 11th\n
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\nPerform operations to add, subtract, multiply and divide matrices. Then solve problems with vectors using matrices. A three day lesson: Matrix Madness, Mystical Matrices, and Decode the Encode. The last lesson has prizes that the class...\n
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