Language American English 1 Easing into Eigenvectors and Eigenvalues in Introductory Linear Algebra

We provide a series of exercises for a first linear algebra course that introduces the concepts of eigenvalue, eigenvector, and diagonal-ization. Using the simple, geometric idea of fixed vectors and fixed directions, the basic aspects of eigenvectors as multiplicative invari-ants of a matrix are emphasized. These exercises can be assigned as soon as students have learned about matrix multiplication, linear combinations of vectors, linear independence, and the solution of small linear systems