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Worksheet
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The Nullspace of a Matrix

For Students 11th - Higher Ed
In this math instructional activity, 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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Worksheet
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Linear Systems: Fundamental Theorem

For Students Higher Ed
For this fundamental theorem worksheet, students show matrix multiplication, identify the vector in the nullspace and interpret equations. This two-page worksheet contains examples, explanations and three problems.
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Linear Systems: Matrix Multiplication

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

For Students Higher Ed
In this diagonalizing a matrix worksheet, students explore matrix factorization and use diagonal decomposition. This two-page worksheet contains examples, explanations and four practice problems.
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Worksheet
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Linear Systems and Reviewing for Exam 2

For Students 11th - Higher Ed
In this math worksheet, students practice reviewing the different method to find the inverse for a matrix. They compute the determinant of a matrix.
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Linear Systems/ LU Decomposition

For Students 11th - Higher Ed
In this math worksheet, students find the values by factoring a matrix A into the product of a lower triangular matrix L. They also make it into an upper matrix U.
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Worksheet
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Linear Systems: Matrix Operations

For Students Higher Ed
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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Worksheet
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Elimination: Using Matrix Operations

For Students 11th - Higher Ed
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

For Students Higher Ed
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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Math 214 - Quiz 12 Properties of Subspaces

For Students Higher Ed
In this subspace activity, students match a matrix to its property of subspace. This two-page activity contains five problems.
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Math 212: Review of Linear Systems

For Students Higher Ed
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 activity contains four problems.
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Matrix Addition

For Students 9th - 10th
In this matrix worksheet, students add matrices containing four to nine numbers. Explanations and examples are provided. This two-page worksheet contains ten problems.
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Matrix Subtraction

For Students 9th - 10th
In this matrix worksheet, students 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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Worksheet
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Matrix Multiplication

For Students 10th - 11th
In this matrix multiplication worksheet, students multiply matrices containing two to ten terms. Explanations and examples are provided prior to the exercise. This five-page worksheet contains ten problems.
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Worksheet
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General Description of Site

For Students 6th - 8th
In this earth science worksheet, students identify what a site matrix is and that is composed of a sandstone mixture. They excavate each quadrant and write detailed journal entries. Students also complete a site map that illustrates...
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Lesson Plan
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Let the Matrix Do It

For Teachers 7th - 8th
Students create a matrix of the vertices of a triangle and produce new matrices that dilate, translate, rotate, and reflect the original triangle. After multiplying each matrix by a new scale factor, they graph the new matrix and...
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Lesson Plan
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Disease and Culture through Literary Time

For Teachers 9th - 12th
Young scholars select books to read that include disease as a plot or theme component. They fill out a matrix for the disease in their novel and write a five-paragraph paper about their book. Students use the rest of the week's...
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Lesson Plan
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Language Arts: Living in "The Matrix"

For Teachers 9th - 12th
Students are able to identify, in a discussion mode, the ways in which the media uses persuasion to achieve their desired aims. They analyze, also in a discussion mode, the media's influence on our society by comparing media advertising...
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Lesson Plan
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Four Matrix, Eigenvalue, and Eigenvector Problems

For Teachers 12th - Higher Ed
In this matrix worksheet, students solve a system of differential equations, find eigenvalues and eigenvector in two problems, and solve a word problem using a system. 
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Worksheet
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Statistics

For Teachers 9th
In this statistics worksheet, 9th graders solve and complete 2 different multiple choice problems related to statistics. First, they determine the order of operations that would best results in the illustrated matrix. Then, students...
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Worksheet
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Magic Squares

For Students 5th - 6th
In this magic squares worksheet, students solve 3 different magic squares shown on the sheet. First, they identify the numbers already used in each square. Then, students determine which number goes in each blank to equal the same sum in...
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Determinants

For Students 9th
In this determinants worksheet, 9th graders solve 10 different problems that include different matrices. They calculate the determinant of each matrix using the data given for each. Then, students define the 2 X 2 matrix and its...
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MT-A314 Introduction to Linear Algebra: Worksheet 4.4

For Students 10th - 11th
In this linear algebra learning exercise, students prove that a given matrix is orthogonal. In addition, they list the entries for the second column of a matrix and make comparisons. Students complete three problems.
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MT-A315 Introduction to Linear Algebra: Worksheet 5.1

For Students 10th - 11th
For this linear algebra worksheet, students identify the determinant of a matrix. They predict the determinant of a matrix and describe how they are related. Students answer three multi-step problems.