Worksheet
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Linear Systems: Fundamental Theorem

For Students 12th - Higher Ed
In this fundamental theorem worksheet, student explore the nullspace and column space of given matrices. They explore the vectors needed to make it linearly independent and construct free variable columns. This two-page worksheet...
Worksheet
Curated OER

Systems-Angle Problems

For Students 10th
In this geometry worksheet, 10th graders use systems of linear equations to solve word problems which involve supplementary and complementary angles.  The one page worksheet contains ten problems.  Answers are not provided. 
Worksheet
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Linear Systems: Introduction to Vector Space

For Students 12th - Higher Ed
In this vector space activity, students find the column spaces of given matrices. This two-page activity contains examples, theorems, explanations, and approximately three problems.
Worksheet
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Linear Systems: Symmetric Matrices

For Students 12th - Higher Ed
In this symmetric matrices worksheet, students find the eigenvalues of a matrix and discover that symmetric matrices are diagonalizable. This two-page worksheet contains examples, explanations and two problems.
Worksheet
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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. ...
Worksheet
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Linear Systems: Permutations and Transposes

For Students Higher Ed
In this permutation instructional activity, students multiply matrices, explore symmetric matrices, permutation matrices, and properties of the transpose. This three-page instructional activity contains explanations, examples and four...
Worksheet
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Linear Systems: The Reduced Row Echelon Matrix

For Students Higher Ed
In this echelon matrix, students identify the nullspace of a matrix by finding the reduced row echelon matrix. This two-page worksheet contains explanations, examples and six problems.
Worksheet
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Linear Systems: The Nullspace Matrix and Rank

For Students Higher Ed
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.
Worksheet
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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.
Worksheet
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Linear Systems; Permutations and Transposes

For Students Higher Ed
In this permutations worksheet, students explore a permutation matrix, symmetric matrix, and the properties of the transpose. This three-page worksheet contains six problems.
Worksheet
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Linear Systems: Eigenvalues and Eigenvectors

For Students Higher Ed
In this eigenvalues worksheet, students find the eigenvalues and eigenvectors of a given matrix. This two-page worksheet contains examples, explanations and two practice problems.
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.
Worksheet
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Linear Systems: The Inverse Matrix

For Students Higher Ed
For this inverse matrix worksheet, students find the product of matrices. They generate an inverse matrix using the Gauss-Jordan elimination method. This two-page worksheet contains explanations, examples and two practice problems.
Worksheet
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Linear Systems: Applications of Eigenvalues and Eigenvectors

For Students Higher Ed
In this Eigenvalue worksheet, students examine the applications of matrix exponentiation. This four-page worksheet contains examples, explanations and approximately three problems to complete.
Worksheet
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Linear Systems: Properties of the Four Matrix Subspaces

For Students Higher Ed
In this four matrix subspaces instructional activity, students identify statements which are always true for given matrices. Students are given five matrices and a list of ten statements.
Worksheet
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Linear Systems: The Determinant

For Students Higher Ed
In this determinant worksheet, students explore the determinant of a matrix. After examining the given examples and explanations, they find the determinants of given matrices. This two-page worksheet contains nine problems.
Worksheet
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Linear Systems: Applications of Eigenvalues and Eigenvectors

For Students Higher Ed
In this eigenvalue and eigenvector worksheet, students find the eigenvalue and eigenvector of a given matrix. This two-page worksheet contains four problems.
Worksheet
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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.
Worksheet
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Linear Systems: Geometric Interpretation of Eigenvalues and Eigenvectors

For Students Higher Ed
In this interpretation of eigenvalues and eigenvectors activity, students probe the given results of exponentiation of a matrix. They tell the implications of this result. Students prove that the eigenvectors of a symmetric matrix are...
Worksheet
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Linear Systems: Vector Spaces and Subspaces

For Students Higher Ed
In this vector spaces and subspaces worksheet, students review column spaces of matrices. They determine if the set of all 2 by 2 matrices is a vector space. Students determine if the set of all invertible 2 by 2 matrices is a vector...
Interactive
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Concerning the Principles of Morals Quiz

For Students 10th - Higher Ed
In this online interactive reading comprehension instructional activity, students respond to 14 multiple choice questions about Hume's Concerning the Principles of Morals. Students may submit their answers to be scored.
Worksheet
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Modeling in Algebra

For Students 8th
In this modeling in algebra instructional activity, 8th graders solve ten different types of algebra problems, including 5 word problems. They first complete each table, describe the pattern used, and determine the 20th and nth term for...
Handout
University of California

Student Workbook: Algebra I

For Students 8th - 11th Standards
Need a helping hand in Algebra I? How about a giant, super-sized worksheet packet? Here is a resource that has worksheets for virtually every concept with some accompanying examples. 
Worksheet
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Numerical Analysis: Dimensional Vectors

For Students Higher Ed
In this dimensional vector worksheet, students prove dimensional vectors. They write systems of equations, verify solutions, and sketch graphs of the functions. This two-page worksheet contains approximately ten problems.

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