# Ch 6: Eigenvalue and Eigenvector in Linear Algebra Lesson Plans

The Eigenvalue and Eigenvector in Linear Algebra chapter of this course is designed to help you plan and teach the definitions and equations associated with eigenvalue, eigenvector and matrices in your classroom. The video lessons, quizzes and transcripts can easily be adapted to provide your lesson plans with engaging and dynamic educational content. Make planning your course easier by using our syllabus as a guide.

## Weekly Syllabus

Below is a sample breakdown of the Eigenvalue and Eigenvector in Linear Algebra chapter into a 5-day school week. Based on the pace of your course, you may need to adapt the lesson plan to fit your needs.

Day Topics Key Terms and Concepts Covered
Monday Eigenvalue and eigenvector overview Definitions of eigenvalue and eigenvector, linear operator, vector, nonzero vector, scalar, matrix
Tuesday Eigenvalues and eigenvectors of a matrix Square matrices, monic polynomial, characteristic polynomial, characteristic equation, Laplace expansion, Cayley-Hamilton Theorem
Wednesday Eigenspaces Eigenspaces, scalar multiplication, vector addition, zero vector, nullspace
Thursday Diagonalization Used of diagonalization, diagonal matrix, linearly independent eigenvectors
Friday Diagonalization of symmetric matrices Definition and 3x3 example of diagonalizing symmetric matrices

5 Lessons in Chapter 6: Eigenvalue and Eigenvector in Linear Algebra Lesson Plans
Test your knowledge with a 30-question chapter practice test
Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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