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Introductions to Eigenvalues and Eigenvectors
In 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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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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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 activity, students prove the exponentiation of a matrix and the Eigenvalues of an inverse. This two-page activity contains explanations, examples, theorems and two problems for students to solve.
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Linear Systems: Eigenvalues and Eigenvectors
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.
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Linear Systems: Applications of Eigenvalues and Eigenvectors
In this eigenvalue and eigenvector activity, students find the eigenvalue and eigenvector of a given matrix. This two-page activity contains four problems.
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Linear Systems: Applications of Eigenvalues and Eigenvectors
In this Eigenvalue worksheet, students examine the applications of matrix exponentiation. This four-page worksheet contains examples, explanations and approximately three problems to complete.
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Four Matrix, Eigenvalue, and Eigenvector Problems
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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Linear Systems: Eigenvalues and Eigenvectors
In this "Eigenvalues and Eigenvectors" instructional activity, students find the eigenvalue of a matrix and explore the properties of eigenvalues with a matrix. This two page instructional activity contains two multi-step problems.
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Linear Systems: Symmetric Matrices
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.
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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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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: 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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Linear Systems: Applications of Eiginvalues
In this Eigenvalue and Eigenvector worksheet, learners 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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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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Matrices and Transformations
For this matrix worksheet, learners explore and solve problems with matrices by addition, subtraction, multiplication and using linear equations. There are 28 problems with some answers.
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Linear Systems: Applications of Linear Algebra to Differential Equations
In this differential equations worksheet, learners solve systems of simultaneous differential equations using linear algebra. This six-page worksheet contains approximately six problems, with explanations and examples.
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Circular Convolution
In this circular convolution worksheet, students solve and complete 6 different problems related to determining the circular convolution. First, they plot a point and describe its effect of convolution with high and low frequencies....
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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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MT-A315 Introduction to Linear Algebra
In this algebra worksheet, students use the math application problems in order to apply the principles of conjugate pairs, vectors, and reading a matrix.
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Worksheet 19
In this math worksheet, students use the following descriptions of a spring system to write a differential equation of the form my + γy + ky = F(x).