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Linear Systems: Geometric Interpretation of Eigenvalues

For Students 12th - Higher Ed
In this geometric interpretation worksheet, students prove the exponentiation of a matrix and the Eigenvalues of an inverse. This two-page worksheet contains explanations, examples, theorems and two problems for students to solve.
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Linear Systems: Eigenvalues and Eigenvectors

For Students 11th - Higher Ed
In this "Eigenvalues and Eigenvectors" worksheet, students find the eigenvalue of a matrix and explore the properties of eigenvalues with a matrix. This two page worksheet contains two multi-step problems.
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Linear Systems: The Column Space

For Students 11th - Higher Ed
In this column space worksheet, students find the column spaces of given matrices. This two-page worksheet contains examples of and explanations. One problem is provided for students to complete.
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Numerical Analysis: Successive Over-Relaxation for Linear Systems

For Students Higher Ed
In this successive linear systems activity, students use a matrix representation of iterative schemes for linear systems. They define a positive definite matrix and explore the Kahan Theorem. This two-page activity contains approximately...
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Linear Systems: Projections

For Students 11th - Higher Ed
In this projection worksheet, students determine the projections of a given matrix. This four-page worksheet contains explanations and examples and approximately ten problems to complete.
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Disease Lesson

For Teachers 9th
Ninth graders examine rates, matrices, histograms, line graphs, data analysis and data presentation in order to develop an understanding of how these concepts apply to a the effects of a specific disease.
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Linear Systems: Vector Spaces

For Students 11th - Higher Ed
In this vector spaces worksheet, students explore the column and rowspace of a matrix. They find the basis of subspaces associated with a given matrix. Students observe the relationship between vectors and the nullspace. This...
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Linear Systems: Identifying Pivots and Multipliers

For Students Higher Ed
In this pivot worksheet, students explore the elimination process, and write a matrix in upper triangular form. They identify equivalent systems. This four-page worksheet contains examples, explanations, and approximately ten problems.
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Multivariable Calculus: Implicit Differentiation

For Students Higher Ed
In this implicit differentiation worksheet, students compute the determinant of the Jacobian matrix and solve equations by implicit differentiation. This two-page worksheet contains definitions, examples, and explanations. It contains...
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Linear Systems: Fundamental Theorem of Linear Algebra

For Students 11th - Higher Ed
In this linear algebra worksheet, students complete matrix multiplication. They find the row space and nullspace of given matrices. This two-page worksheet contains examples, explanations, and approximately four problems to complete.
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Linear Systems: General Solutions

For Students 11th - Higher Ed
For this linear system worksheet, students explore the characteristics of given matrices. They multiply matrices and determine pivots and multiply solutions. This four-page worksheet contains approximately seven problems.
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Dimension and Rank

For Teachers 10th - 12th
Students determine the dimension of a subspace.  In this dimension and rank lesson, students explore the dimension of a vector space.  They compare and explore the relationship in a matrix. 
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Geometric Interpretations of Eigenvalues and Eigenvectors

For Students 11th - Higher Ed
In this math worksheet, students practice finding the Eigenvalues and Eigenvectors. They find the special factors of the given matrices.
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Linear Systems: Differential Equations

For Students Higher Ed
In this differential equations worksheet, students determine the stability of matrices and evaluate a matrix with an exponent. This two-page worksheet contains examples, explanations, and two problems to solve.
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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.
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Multivariable Calculus Bonus Quiz 3, Determinants

For Students 11th - Higher Ed
in this math activity, students practice finding the determinant for each matrix. Then they use the solutions to develop a hypothesis for the determinants.
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Linear Systems: Independence, Basis and Dimension

For Students 12th - Higher Ed
For this basis and dimension worksheet, learners explore vector spaces associated with rectangular matrices. The two-page worksheet contains approximately 20 short answer questions.
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Projections of a Vector Onto a Subspace

For Students 11th - Higher Ed
In this math worksheet, students practice reading the examples of a vector onto a subspace. They also examine the projection matrix.
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Learning To Use Matlab Interactively

For Students 11th - Higher Ed
In this math worksheet, students explore the uses for the computer program of Matlab. They use the basic functions of the program to execute algorithms.
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Linear Systems: Eigenvalues and Eigenvectors

For Students Higher Ed
For this eigenvalues worksheet, students find the eigenvalues and eigenvectors of a given matrix. This two-page worksheet contains examples, explanations and two practice problems.
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Data Analysis Self-Test

For Students 8th - 12th
In this data analysis learning exercise, students complete 1 problem that has 7 parts involving mean, median, mode, range, and quartiles. Students then perform 5 operations with matrices.
Lesson Plan
Agriculture in the Classroom

Pumpkins... Not Just For Halloween

For Teachers 3rd - 5th Standards
Celebrate fall with four pumpkin themed hands-on activities! After learning about pumpkins, scholars complete two activity sheets that reinforce estimation and word problems. They then plant pumpkin seeds and bake a pie in...
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Linear Systems: Review of Vectors

For Students 12th - Higher Ed
In this review of vectors worksheet, students explore vectors and their uses. They multiply and subtract vectors and identify the linear combinations of given matrices. This two-page worksheet contains approximately ten problems.
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Linear Systems Quiz 6

For Students 11th - Higher Ed
In this math learning exercise, 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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