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Math 214 Quiz 5 - Eigenvalues
In this eigenvalue learning exercise, students answer true and false questions about eigenvalues. They must support their answer with an explanation. This two-page learning exercise contains three questions.
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Linear Systems: Geometric Interpretation of Eigenvalues and Eigenvectors
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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Introductions to Eigenvalues and Eigenvectors
For this math worksheet, students solve the problems that are related to the finding of the eigenvalues and eigenvectors. They must show all their work for the answers.
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Geometric Interpretations of Eigenvalues and Eigenvectors
In this math activity, students practice finding the Eigenvalues and Eigenvectors. They find the special factors of the given matrices.
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Eigenvalues, Eigenvectors, and Diagonalization
Students determine eigenvectors and eigenvalues for a matrix. Students diagonalize a matrix. Similar matrices are defined. Determinant formula is given for an degree n polynomial.
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Linear Systems: Geometric Interpretation of Eigenvalues
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
In this eigenvalues instructional activity, students find the eigenvalues and eigenvectors of a given matrix. This two-page instructional activity contains examples, explanations and two practice problems.
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Linear Systems: Applications of Eigenvalues and Eigenvectors
For 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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Linear Systems: Applications of Eigenvalues and Eigenvectors
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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Four Matrix, Eigenvalue, and Eigenvector Problems
For this matrix worksheet, learners 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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Linear Systems: Eigenvalues and Eigenvectors
In this "Eigenvalues and Eigenvectors" learning exercise, students find the eigenvalue of a matrix and explore the properties of eigenvalues with a matrix. This two page learning exercise contains two multi-step problems.
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Linear Systems Review Problems
In this linear systems activity, students identify the requirements for two linear systems to have at least one solution. They find a matrix with no zero entries that has the given fully reduced form. Students use row reduction to...
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Linear Systems: Symmetric Matrices
In this symmetric matrices learning exercise, students find the eigenvalues of a matrix and discover that symmetric matrices are diagonalizable. This two-page learning exercise contains examples, explanations and two problems.
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Using Linear Algebra to Solve Systems of ODE's
In this math instructional activity, students examine the coupled differential equations. Then they find the eigenvalues and eigenvectors for the 2x2 matrix.
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Linear Systems Quiz 6
In this math worksheet, learners 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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Physics: Eigenvalues
Students solve problems by discovering the eigenvalues that satisfy design questions. They explain how relaxing a small angle approximation can change the solution. Students apply the numerical model of pendulumm motion to solve the...
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Linear Systems: Applications of Eiginvalues
In this Eigenvalue and Eigenvector worksheet, students examine the applications of matrix exponentiation. This four-page worksheet provides explanations and examples, as well as three problems to complete.
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Angular Solution of Hydrogen Atom
Students participate in an angular solution of hydrogen activity. Using this activity, students also illustrate eigenvalue problems applied in mathematics. They explore Schrodinger's equation and particle wave duality.
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Radial Solution, Hydrogen Wavefunction
Students study the radial solution of hydrogen activity. They illustrate eigenvalue problems in applied mathematics. Students explore Schrodinger's equation and particle wave duality.
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Linear Systems: Symmetric Matrices
In this symmetric matrices worksheet, students explore the characteristics of symmetric matrices. This two-page worksheet contains examples and explanations concerning symmetric matrices. Two problems are provided to solve.
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Twenty-Four Eignevalues and Eigenvectors
In this eigenvalues and eigenvectors instructional activity, students determine eigenvalues and eigenvectors for twenty-two problems. Students write two poofs on this instructional activity.
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Physics: Angular Solution of Hydrogen Atom
Students discover the angular solution of hydrogen activity. Depending on the undergraduate course, this activity can illustrate eigenvalue problems, to introduce Shrodinger's equation and particle wave duality, or to introduce...
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Indinite Potential Well
Students use experiments such as electron diffraction that show that particle have a wavelike nature. When they are fired through a thin slit, rather than scattering like hard spheres they interfere like waves. Students see that the...
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Systems of Equations
In this algebra learning exercise, students solve systems of equations using matrices. There are 24 questions to be solved.