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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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Instructional Video10:59
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\n\"Linear\n\n
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\n3Blue1Brown\n
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\nLinear Transformations and Matrices | Essence of Linear Algebra, Chapter 3\n

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\n\nFor Students\n\n11th - Higher Ed\n\nStandards\n
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\nAre all transformations of the plane linear transformations? The video provides examples of transformations of the plane and provides the definition of linear transformations. The resource begins the discussion of using matrix...\n
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\n\"Matrix\n\n
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\nEngageNY\n
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\nMatrix Multiplication Is Not Commutative\n

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\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
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\nShould matrices be allowed to commute when they are being multiplied? Learners analyze this question to determine if the commutative property applies to matrices. They connect their exploration to transformations, vectors, and complex...\n
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\n\"Modeling\n\n
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\nEngageNY\n
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\nModeling Video Game Motion with Matrices 2\n

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\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
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\nThe second day of a two-part lesson on motion introduces the class to circular motion. Pupils learn how to incorporate a time parameter into the rotational matrix transformations they already know. The 24th installment in the 32-part...\n
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Instructional Video4:27
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\n\"Nonsquare\n\n
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\n3Blue1Brown\n
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\nNonsquare Matrices as Transformations Between Dimensions | Essence of Linear Algebra, Footnote\n

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\n\nFor Students\n\n11th - Higher Ed\n\nStandards\n
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\nBut what happens if the matrix is not square? The ninth video in a series of 15 serves as a footnote to discuss non-square matrices. The resource presents them as transformations between two and three dimensions. The presentation...\n
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\n\"Exploring\n\n
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\nCurated OER\n
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\nExploring Transformations with Matrices\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nA page right out of the Holt Geometry book. Use a graphing calculator and graph paper to explore transformations with matrices.\n \n
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Instructional Video2:28
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\n\"How\n\n
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\nCurated OER\n
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\nHow Do You Multiply a Matrix by a Scalar?\n

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\n\nFor Teachers\n\n10th - 11th\n
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\nThe instructor in this video shows an example of how to multiply a matrix by the scalar number.\n
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Instructional Video3:56
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\n\"Multiplying\n\n
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\nCurated OER\n
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\nMultiplying Two Small Matrices\n

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\n\nFor Teachers\n\n7th - 9th\n
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\nThis clip is intended to assist learners practice and assess matrices being multiplied. The tutor explains, identifies, and describes how to evaluate each matrix, he then shows how he multiplies them together. There are some steps that...\n
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Instructional Video5:51
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\n\"What\n\n
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\nCurated OER\n
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\nWhat is the Identity Property of Matrix Addition?\n

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\n\nFor Teachers\n\n10th - 12th\n
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\nAdding zero to a number doesnÕt change it and the same goes for matrices. Add the zero matrix to a matrix of the same dimensions to get the original matrix back. And just like adding numbers, this is called the identity property of...\n
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Instructional Video6:25
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\n\"How\n\n
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\nCurated OER\n
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\nHow Do You Use Matrices to Translate a Figure?\n

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\n\nFor Teachers\n\n10th - 12th\n
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\nOne way to translate a geometric figure on a coordinate plane is through the use of matrices. This video shows how to write the original coordinates in a matrix, how to build a translation matrix, how to add them, and then how to plot...\n
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Interactive
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\n\"Matrix\n\n
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\nCK-12 Foundation\n
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\nMatrix Multiplication: Vectors\n

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\n\nFor Students\n\n10th - 12th\n\nStandards\n
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\nVisualize matrix multiplication on the coordinate plane. Pupils use the interactive to create a matrix multiplication problem using vectors. The scholars see the resulting product of the matrices as a vector.\n
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Interactive
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\n\"Multiplying\n\n
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\nCK-12 Foundation\n
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\nMultiplying Matrices by a Scalar: Column Vectors\n

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\n\nFor Students\n\n10th - 12th\n\nStandards\n
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\nMake connections between vectors and matrices through multiplication. Scholars use the interactive to view the effect of multiplying a matrix by a scalar. The interactive displays the resulting matrix and its corresponding column vectors...\n
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Interactive
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\n\"Adding\n\n
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\nCK-12 Foundation\n
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\nAdding and Subtracting Matrices: The Matrix Calculator\n

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\n\nFor Students\n\n10th - 12th\n\nStandards\n
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\nDiscover the procedure to add and subtract matrices. Pupils use the interactive and discover the pattern in adding and subtracting matrices. Scholars adjust the entries in the addends and see the resulting changes in the sum. They also...\n
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Interactive
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\n\"Matrices\n\n
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\nCK-12 Foundation\n
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\nMatrices to Represent Data: Houndstooth\n

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\n\nFor Students\n\n10th - 12th\n\nStandards\n
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\nApply matrices to fashion. Here your classes use a matrix to create a popular clothing design. As they construct the pattern, they review the dimensions of a matrix by considering the rows and columns. \n
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\n\"Balancing\n\n
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\nKenan Fellows\n
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\nBalancing Equations Using Matrices\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nMatrices help solve systems of equations in chemistry, computer graphics, circuitry, probability, and more. The second lesson in a seven-part series focuses on using matrices to balance chemical equations. Pupils rely on the Law of...\n
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Interactive
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\n\"Matrix\n\n
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\nMatrix Algebra: Matrix Match\n

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\n\nFor Students\n\n10th - 12th\n\nStandards\n
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\nWhat size is the product of two matrices? Individuals determine that two matrices that can be multiplied and their resulting matrix by connecting them in the interactive resource. They make a generalization about the sizes of...\n
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\n\"Matrix\n\n
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\nCurated OER\n
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\nMatrix\n

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\n\nFor Teachers\n\n10th - 11th\n
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\nStudents examine characteristics of a matrix. After identifying the determinant of a matrix, students explore the properties of matrix multiplication. They review the properties of matrix multiplication and identify determinants in a...\n
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\n\"Operations\n\n
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\nCurated OER\n
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\nOperations on Matrices\n

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\n\nFor Teachers\n\n10th - 12th\n
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\nA guided lesson using the WolframAlpha computer program. The class explores the basic operations of adding, subtracting, multiplying and dividing matrices to solve problems.\n
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\n\"Matrices\n\n
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\nCurated OER\n
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\nMatrices\n

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\n\nFor Teachers\n\n8th - 10th\n
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\nStudents 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.\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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\nLearners 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\"Addition\n\n
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\nCurated OER\n
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\nAddition & Multiplication of Matrices\n

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\n\nFor Teachers\n\n9th - 12th\n
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\nStudents add and multiply matrices. They explore the dimensions of products of a matrix. After observing problems on the overhead, students solve their own matrix problems. They list and define the properties of matrix multiplication.\n
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\n\"Matrices:\n\n
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\nMatrices: A Secret Weapon\n

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\n\nFor Teachers\n\n9th - 11th\n
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\nLearners perform operations with matrices. In this algebra lesson, students use cryptography and cryptanalysis to solve problems. They add, subtract, and multiply matrices.\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\"Matrix\n\n
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\nEngageNY\n
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\nMatrix Multiplication Is Distributive and Associative\n

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\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
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\nLearn the ins and outs of matrix multiplication. After discovering the commutative property does not apply to matrix multiplication in a previous lesson in the series, pupils now test the associative and distributive properties. The...\n
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