Worksheet
Curated OER

Introductions to Eigenvalues and Eigenvectors

For Students 11th - Higher Ed
In this math activity, students solve the problems that are related to the finding of the eigenvalues and eigenvectors. They must show all their work for the answers.
Worksheet
Curated OER

Linear Systems Review Problems

For Students Higher Ed
In this linear systems worksheet, 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...
Lesson Plan
Curated OER

Eigenvalues, Eigenvectors, and Diagonalization

For Teachers Higher Ed
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.
Worksheet
Curated OER

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.
Worksheet
Curated OER

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.
Worksheet
Curated OER

Linear Systems: Applications of Eigenvalues and Eigenvectors

For Students Higher Ed
In this eigenvalue and eigenvector activity, students find the eigenvalue and eigenvector of a given matrix. This two-page activity contains four problems.
Worksheet
Curated OER

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.
Lesson Plan
Curated OER

Four Matrix, Eigenvalue, and Eigenvector Problems

For Teachers 12th - Higher Ed
In 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. 
Worksheet
Curated OER

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.
Worksheet
Curated OER

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.
Lesson Plan
Curated OER

Angular Solution of Hydrogen Atom

For Teachers Higher Ed
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.
Lesson Plan
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Radial Solution, Hydrogen Wavefunction

For Teachers Higher Ed
Students study the radial solution of hydrogen activity. They illustrate eigenvalue problems in applied mathematics. Students explore Schrodinger's equation and particle wave duality.
Lesson Plan
Curated OER

Physics: Eigenvalues

For Teachers 6th - 12th
Young scholars 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...
Worksheet
Curated OER

Linear Systems: Symmetric Matrices

For Students 12th - Higher Ed
In this symmetric matrices instructional activity, students explore the characteristics of symmetric matrices. This two-page instructional activity contains examples and explanations concerning symmetric matrices. Two problems are...
Worksheet
Curated OER

Linear Systems: Applications of Eiginvalues

For Students 12th - Higher Ed
In this Eigenvalue and Eigenvector instructional activity, students examine the applications of matrix exponentiation. This four-page instructional activity provides explanations and examples, as well as three problems to complete.
Lesson Plan
Curated OER

Physics: Angular Solution of Hydrogen Atom

For Teachers Higher Ed
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...
Lesson Plan
Curated OER

Indinite Potential Well

For Teachers Higher Ed
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...
Worksheet
Curated OER

Matrices and Transformations

For Students 10th - 12th Standards
In this matrix activity, learners explore and solve problems with matrices by addition, subtraction, multiplication and using linear equations. There are 28 problems with some answers.
Worksheet
Curated OER

Linear Systems: Applications of Linear Algebra to Differential Equations

For Students 12th - Higher Ed
In this differential equations worksheet, students solve systems of simultaneous differential equations using linear algebra. This six-page worksheet contains approximately six problems, with explanations and examples.
Worksheet
Curated OER

Circular Convolution

For Students 12th - Higher Ed
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....
Worksheet
Curated OER

Twenty-Four Eignevalues and Eigenvectors

For Students 12th - Higher Ed
In this eigenvalues and eigenvectors worksheet, students determine eigenvalues and eigenvectors for twenty-two problems.  Students write two poofs on this worksheet.
Worksheet
Curated OER

MT-A315 Introduction to Linear Algebra

For Students 11th - 12th
For this algebra worksheet, students use the math application problems in order to apply the principles of conjugate pairs, vectors, and reading a matrix.
Worksheet
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Worksheet 19

For Students 6th - Higher Ed
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).
Handout
Nobel Media AB

The Nobel Prize: Erwin Schrodinger Biographical

For Students 9th - 10th
This biography from the The Nobel Foundation overviews the life and scientific worlk of Erwin Schrodinger, an Austrian scientist who was honored for his work with atomic theory. Read about his education and personal life, and view links...