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Linear Systems Quiz 6

For Students 11th - Higher Ed
In this math worksheet, students practice finding the solutions for the linear systems in the form of a quiz. They focus upon finding the eigenvalues and eigenvectors of a matrix.
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Linear Systems: Orthogonality of Subspaces

For Students Higher Ed
In this subspace worksheet, students decompose a vector into two orthogonal pieces, one for the nullspace and another for the row space of a matrix. This two-page worksheet contains explanations, examples, and three problems.
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Linear Systems: Gauss-Jordan Elimination

For Students Higher Ed
In this Gauss-Jordan worksheet, students use the Gauss-Jordan method to find an identify matrix. This two-page worksheet provides examples, explanations and two practice problems.
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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.
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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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2D Wavelet Transform

For Students 12th - Higher Ed
In this 2D wavelet transform worksheet, students compute 9 different types of problems related to using wavelets. They select a set of orthogonal filters, load in any image they want, and compute by the given command. Then, students...
Interactive
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Food Web Relationships

For Students 4th - 8th
In this food web worksheet, learners create a food web matrix and answer short answer questions about the food chain according to the matrix. Students complete 7 short answer questions.
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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...
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Linear Systems: Permutations and Transposes

For Students Higher Ed
In this permutation worksheet, students multiply matrices, explore symmetric matrices, permutation matrices, and properties of the transpose. This three-page worksheet contains explanations, examples and four problems.
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Linear Systems: Geometric Interpretation of Eigenvalues and Eigenvectors

For Students Higher Ed
In this interpretation of eigenvalues and eigenvectors worksheet, 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...
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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.
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Chapter 5, 6, 7 Problems. Simultaneous Equations

For Teachers Higher Ed
For this simultaneous equations worksheet, students find the solution set for systems of simultaneous equations. They solve equations using a matrix and find the region specified in an inequality. This one-page worksheet contains...
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Multivariable Calculus: Curvilinear Coordinates

For Students Higher Ed
In this curvilinear coordinate worksheet, students compute the Jacobian of standard transformations to Cartesian coordinates from polar, spherical and cylindrical coordinates. They identify the determinant of the Jacobian matrices. This...
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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...
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Linear Systems: Projections

For Students 11th - Higher Ed
In this projection activity, students determine the projections if a given matrix. They take a vector and project it onto a line and subspace. This four-page activity contains examples and approximately seven problems.
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Linear Systems: Applications of Eigenvalues and Eigenvectors

For Students Higher Ed
In this Eigenvalue activity, students examine the applications of matrix exponentiation. This four-page activity contains examples, explanations and approximately three problems to complete.
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Linear Systems: Introduction to Vector Space

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

For Students Higher Ed
For this vector space worksheet, students explore linearly independent vectors. They identify the row space, null space and subspaces of a given matrix. This four-page worksheet contains approximately eight problems.
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Statistics

For Teachers 9th
For 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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MT-A314 Introduction to Linear Algebra: Worksheet 4.4

For Students 10th - 11th
In this linear algebra instructional activity, 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
In 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.
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Setting up Systems

For Students 12th - Higher Ed
In this systems of equations instructional activity, students solve 2 different problems that include setting up various systems. They compute a given system using matrix operations. Then, students verify that the solution is correct by...
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Introduction to Linear Algebra 2.1

For Students 11th - Higher Ed
In this linear equation worksheet, students identify the vector space of a given matrices and find the appropriate system of equations for each of four solutions. Then they solve the system and write their conclusion.
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Cramer's Rule

For Students 9th - 11th
In this algebra worksheet, students solve problems with matrices. They add, subtract and multiply matrices. There are 7 questions.

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