Linear Systems: Applications of Eigenvalues and Eigenvectors
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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Numerical Analysis: Successive Over-Relaxation for Linear Systems
In this successive linear systems worksheet, 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 worksheet contains...
Higher Ed Math
Linear Systems: Applications of Linear Algebra to Differential Equations
In this differential equations learning exercise, students solve systems of simultaneous differential equations using linear algebra. This six-page learning exercise contains approximately six problems, with explanations and examples.
12th - Higher Ed Math
Essence of Linear Algebra Preview
Make connections with linear algebra. The video introduces the concept of linear algebra and its geometric underpinnings. The resource makes the case that a complete understanding of linear algebra topics should include geometric...
5 mins 11th - Higher Ed Math CCSS: Adaptable
Inverse Matrices, Column Space and Null Space | Essence of Linear Algebra, Chapter 6
Determine the geometric representation to the solution of a system of linear equations. The resource shows how scholars can represent a system of linear equations as a linear transformation. The video discusses using an inverse matrix to...
12 mins 11th - Higher Ed Math CCSS: Adaptable
Eigenvectors and Eigenvalues | Essence of Linear Algebra, Chapter 10
Find vectors that stay on their spans after a linear transformation. The 14th video in the series of 15 introduces the concept of eigenvectors, vectors that are only scaled during a linear transformation. The presentation illustrates the...
17 mins 11th - Higher Ed Math CCSS: Adaptable