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Math 214 - Quiz 12 Properties of Subspaces

For Students Higher Ed
In this subspace worksheet, students match a matrix to its property of subspace. This two-page worksheet contains five problems.
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Inverse Matrices

For Students 9th - 11th
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

For Students Higher Ed
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...
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Linear Systems: Matrix Operations

For Students Higher Ed
This matrix operations activity covers topics such as matrix addition, multiplication and properties such as associative, commutative and distributive. Students give examples and counter examples of matrix addition and multiplication. ...
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Linear Systems: Matrix Multiplication

For Students Higher Ed
In this matrix multiplication worksheet, students multiply matrices and identify the rotation matrix of a given angle. This two-page worksheet contains examples, explanations and two problems to solve.
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Linear Systems: Using Matrix Operations

For Students Higher Ed
In this matrix operations worksheet, students convert a system of linear equations into a matrix. This four-page worksheet contains explanations, examples and four problems.
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Matrices

For Students 8th - 10th
In this matrices instructional activity, learners answer 4 multiple choice questions regarding analyzing matrices and performing operations with matrices.
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Operations on Vectors and Matrices

For Students 11th - Higher Ed
In this math worksheet, students practice using the operations on vectors and matrices. They find the parallel vector to the given one.
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Linear Systems: Nullspace Matrix

For Students Higher Ed
In this linear systems worksheet, students explore the dimensions of a matrix. They identify the independent rows and columns. This two-page worksheet contains explanations, examples and four problems to solve.
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Topic 4.4 - Matrices and Determinants

For Students 7th - 9th
For this determinant worksheet, students find the determinants of each matrix. They use diagonals and the expansion by minors method to help. There are 10 problems on this worksheet.
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Math 214: Quiz 9 - Dimensions of Subspaces

For Students Higher Ed
For this subspace worksheet, students determine the dimension of a nullspace and column space of a given matrix. This two-page worksheet contains three problems.
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How To Organize Data into Matrices

For Students 10th - 11th
In this matrix worksheet, students organize given data into matrices and answer questions from given matrices.  Explanations, definitions, and examples are provided.
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Eighteen Matrix Operations Questions

For Students 11th - 12th
In this matrix operations worksheet, students use matrix operations (adding, subtracting, multiplying) to simplify eighteen matrices, if possible.  Solutions are provided.
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Matrices and Vectors

For Students 12th - Higher Ed
In this matrices and vectors worksheet, learners solve 9 various types of problems related to forming matrices and vectors. First, they set up each system of equations listed in matrix form using mathematical notation. Then, students...
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Determinants of 2x2 Matrices

For Students 10th - 12th
For this matrices worksheet, students find the value of 14 2x2 matrices. They evaluate one addition of matrices problem. Students give an example of a 2x2 matrix with a given determinant.
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Matrices

For Students 11th
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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Matrix Operations

For Students 12th - Higher Ed
In this matrix operations learning exercise, students solve 3 different sets of problems that include matrix operations. They solve each matrices and explain the relation between the computed matrices in each problem. Then, students...
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Determinants of 3X3 Matrices

For Students 11th - 12th
In this determinants worksheet, students solve and complete 12 different types of problems. First, they evaluate the determinant in each matrix illustrated. Then, students determine the value of x that makes the determinant given.
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Systems of Equations

For Students 11th - 12th
In this algebra worksheet, students solve systems of equations using matrices. There are 24 questions to be solved.
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Matrices

For Students 11th
In this matrices worksheet, 11th graders solve and complete 25 different problems. First, they use the given matrices to write the dimension of a matrix. Then, students add the matrices and find the scalar product. In addition, they...
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Be Independent / Life Management Skills

For Teachers 9th - 12th
Living independently is about more than managing money. Learn how to manage time, balance responsibilities, and calculate overtime and income with a set of activities about life management skills.
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Equations and Inequalities

For Students 11th
In this equations and inequalities review worksheet, 11th graders solve and complete 100 various types of problems. First, they solve each equation using the quadratic formula or completing the square. Then, students solve using matrices...
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Linear Systems: Matrix Inverse

For Students 11th - Higher Ed
In this linear systems worksheet students multiply matrices and find the coefficient matrix in the upper-triangular form. This four-page worksheet contains approximately four problems, with examples and explanations.
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Linear Systems: Orthogonal Matrices

For Students 11th - Higher Ed
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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