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Matrices In Encryption And Decryption Of Codes
Students relate Cryptography to the solving of simultaneous linear equations in matrix notation. They explore various methods of encrypting and decrypting codes. Pupils discuss and solve simultaneous linear equations.
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Chapter 6 Worksheet: Math 210. Matrices
In this matrices worksheet, students define a matrix. They multiply matrices, and find the inverse of them. This one-page worksheet contains approximately 20 problems.
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Matrix Equation
In this matrix equation, students use matrix multiplication to solve matrix equations. Each equation contains a two-by-two matrix. This one-page worksheet is comprised of ten multiplication problems.
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Introduction to Matrices
In this introduction to matrices worksheet, 11th graders solve and complete 13 different problems that include various matrices. First, they perform the indicated operation for each matrix. Then, students solve for the variables in the...
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Matrix Subtraction
For this matrix worksheet, learners subtract matrices. Each matrices contains four to nine terms. Explanations and examples are provided. This three-page worksheet contains ten problems.
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Diagonalizing a Matrix
In this math worksheet, students find the answers to the problems that focus upon the concept of diagonalizing a matrix. They also find the probability matrix.
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The Column Space of a Matrix
In this math worksheet, students find the answers to the problems that are related to using a matrix. They group the numerical values with the matrix.
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The Nullspace of a Matrix
In this math worksheet, students read the definition for the nullspace of a matrix. The definition is used to find the solutions to new problems.
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Linear Systems: The Nullspace Matrix and Rank
In this nullspace worksheet, students identify the rank and nullspace in a matrix. They compare the nullspace and column space of given matrices. This two-page worksheet contains examples, explanations and five problems.
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Linear Systems: Diagonalizing a Matrix
In this diagonalizing a matrix learning exercise, students explore matrix factorization and use diagonal decomposition. This two-page learning exercise contains examples, explanations and four practice problems.
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Linear Systems: Matrix Operations
In this matrix operations worksheet, students find the dot product of matrices. They use the elimination method to solve linear equations. This two-page worksheet contains explanations, examples and three problems.
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Elimination: Using Matrix Operations
In this math worksheet, students practice using a matrix with the method of elimination to find the solutions. They practice using matrix multiplication.
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Linear Systems: Column Space and Nullspace of a Matrix
In this matrix worksheet, students find the column space and nullspace of a matrix. They give examples of vectors. This two-page worksheet contains four problems.
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Multiplication of Matrices
For this multiplication worksheet, students solve ten math problems involving multiplication of matrices. Students find the product of each matrices.
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Linear Systems: Column Space and Nullspace of a Matrix
In this column space and nullspace of a matrix worksheet, students are give a three by three matrix. They describe the kind of subspace it is. Students find the nullspace of the matrix.
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Quiz: Multiply a Matrix by a Number
In this matrix worksheet, learners multiply a matrix by a given number. The matrices range in size from one-by-two to three-by-three. This one-page worksheet contains ten matrix problems.
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Matrix Equations - Inverses Required
In this matrix learning exercise, students solve matrix problems. They multiply matrices and state the solution and dimensions. This four-page learning exercise contains 16 multi-step problems. Answers are provided on the last two pages.
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Quiz 1/ Operations on Vectors and Matrices
In this math worksheet, students examine the operations of vectors and matrices. Then they use the operations to compare the vectors that are parallel and perpendicular.
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Quiz: Addition of Matrices
In this addition of matrices learning exercise, students find the sum of given matrices. This one-page learning exercise contains ten addition problems.
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Math 212: Review of Linear Systems
In this linear systems review, students find the intersection of two planes, solve linear systems of equations using matrices, determine the solution set for a linear system. This two-page worksheet contains four problems.
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Math 214 - Quiz 12 Properties of Subspaces
In this subspace learning exercise, students match a matrix to its property of subspace. This two-page learning exercise contains five problems.
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The Determinant of a Matrix
Students calculate the determinant. In this algebra lesson, students find the determinant and use to calculate the area of a triangle. They calculate the area of a quadrilateral in a plane.
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Inverse Matrices
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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Linear Systems: Reduced Row Echelon Matrix and Rank
Students find the nullspace of the three matrices by finding the reduced row echelon matrix for each in this activity. They convert three matrices to reduced row echelons and show they have only one pivot. Students find the rank of three...