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Instructional Video4:35
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\n\"Square\n\n
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\nBrightstorm\n
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\nSquare Matrices - Concept\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nNo, matrices are not what mathematicians sleep on. Lesson begins with identifying the dimensions of matrices then moves on to multiply them. It also provides guided practice problems that get progressively more complex.\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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Worksheet
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\n\"Magic\n\n
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\nCurated OER\n
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\nMagic Squares for Shakespeare's Twelfth Night, Act II, scene 5\n

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\n\nFor Students\n\n10th - 12th\n
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\nReaders of Shakespeare’s Twelfth Night use a magic squares matrix to match vocabulary words from Act II, Scene 5 with their definitions. An answer key is provided.\n
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Worksheet
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\n\"Cramer's\n\n
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\nCurated OER\n
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\nCramer's Rule\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this Cramer's Rule worksheet, students first evaluate five determinants or square matrix. Then they solve the last five problems by applying Cramer's Rule. Students identify and define Cramer's Rule as a theorem used with linear...\n
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Unit Plan
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\n\"Complex\n\n
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\nEngageNY\n
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\nComplex Numbers and Transformations\n

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\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
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\nYour 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...\n
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Lesson Plan
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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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Lesson Plan
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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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Worksheet
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\n\"Multiplying\n\n
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\nCurated OER\n
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\nMultiplying Matrices \n

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\n\nFor Students\n\n10th - 12th\n\nStandards\n
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\nGo over the basics of matrix multiplication, from checking the dimension of the factors, to applying the distributive property. This worksheet includes directions on when and how to multiply matrices, one example, and a few problems your...\n
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Worksheet
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\n\"Solving\n\n
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\nCurated OER\n
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\nSolving Linear Systems Using Matrices\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nStart with the definition of a determinant and how to evaluate a 2x2 determinant. Apply this skill to solve systems of two equations with two unknowns by using Cramer's rule. These four basic problems would be good for a quick review or...\n
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Worksheet
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\n\"Games\n\n
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\nCurated OER\n
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\nGames\n

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\n\nFor Students\n\n3rd - 6th\n
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\nIn this worksheet, learners identify size and shapes if different circles. They identify the circles as sets of four using a specific pattern.\n
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Lesson Plan
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\n\"Linear\n\n
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\nCurated OER\n
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\nLinear Equations and Matrices\n

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\n\nFor Teachers\n\n10th - 11th\n
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\nStudents 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.\n
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Worksheet
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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 Students\n\n11th\n
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\nIn 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...\n
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Worksheet
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\n\"Linear\n\n
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\nCurated OER\n
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\nLinear Systems: Applications of Eiginvalues\n

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\n\nFor Students\n\n12th - Higher Ed\n
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\nIn this Eigenvalue and Eigenvector worksheet, students examine the applications of matrix exponentiation. This four-page worksheet provides explanations and examples, as well as three problems to complete.\n
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\n\"Linear\n\n
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\nCurated OER\n
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\nLinear Systems: Matrix Operations\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this matrix operations worksheet, students perform matrix addition and multiplication. This two-page worksheet contains six problems. Definitions, examples and explanations are also provided.\n
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Worksheet
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\n\"Linear\n\n
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\nCurated OER\n
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\nLinear Systems: The Determinant\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this determinant instructional activity, students find the determinants of matrices. They identify patterns and their relationship to the canonical matrix. This two-page instructional activity contains approximately nine problems,...\n
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Worksheet
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\n\"Linear\n\n
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\nCurated OER\n
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\nLinear Systems: The Column Space\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nFor this column space worksheet, students find the column spaces of given matrices. This two-page worksheet contains examples of and explanations. One problem is provided for students to complete.\n
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\n\"Dimension\n\n
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\nCurated OER\n
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\nDimension and Rank\n

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\n\nFor Teachers\n\n10th - 12th\n
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\nStudents determine the dimension of a subspace.  In this dimension and rank lesson, students explore the dimension of a vector space.  They compare and explore the relationship in a matrix. \n
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Lesson Plan
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\n\"Matrix\n\n
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\nCurated OER\n
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\nMatrix Math\n

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\n\nFor Teachers\n\n10th\n
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\nTenth 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...\n
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Activity
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\n\"Analyze\n\n
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\nAnalyze Math\n
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\nAnalyze Math: The Inverse of a Square Matrix\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nLearners explore the discrete mathematics topic of matrices. The tutorial demonstrates how to calculate the inverse of a square matrix. The activity includes examples with 2 by 2 and 3 by 3 matrices.\n
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Instructional Video
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\n\"Sophia:\n\n
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\nSophia Learning\n
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\nSophia: Multiplying Square Matrices: Lesson 3\n

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\n\nFor Students\n\n9th - 10th\n
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\nIn this lesson, students learn the steps to multiply two square matrices. It is 3 of 8 in the series titled \"Multiplying Square Matrices.\" [3:03]\n
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Instructional Video
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\n\"Sophia:\n\n
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\nSophia Learning\n
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\nSophia: Multiplying Square Matrices: Lesson 4\n

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\n\nFor Students\n\n9th - 10th\n
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\nIn this lesson, students learn the steps to multiply two square matrices. It is 4 of 8 in the series titled \"Multiplying Square Matrices.\" [3:02]\n
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Instructional Video
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\nSophia: Multiplying Square Matrices: Lesson 8\n

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\n\nFor Students\n\n9th - 10th\n
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\nIn this lesson, students learn the steps to multiply two square matrices. It is 8 of 8 in the series titled \"Multiplying Square Matrices.\" [2:23]\n
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Instructional Video
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\n\"Sophia:\n\n
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\nSophia Learning\n
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\nSophia: Multiplying Square Matrices: Lesson 1\n

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\n\nFor Students\n\n9th - 10th\n
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\nIn this lesson, students learn the steps to multiply two square matrices. It is 1 of 8 in the series titled \"Multiplying Square Matrices.\" [2:34]\n
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Handout
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\n\"Varsity\n\n
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\nVarsity Tutors \n
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\nVarsity Tutors: Hotmath: Algebra Review: Square Matrix\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nFind a quick, concise explanation of what a square matrix is. An example is given and clearly explained.\n
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