The concepts of Eigenvectors and Eigenspace center around vectors that, when a linear transformation is applied, only alter by a scalar factor. These vectors are not zeroes. The Eigenspace refers to the collection of all related eigenvectors for a specific eigenvalue, including the zero vector. To determine these, one must solve the characteristic equation, and then replace the eigenvalues in the matrix equation.
| Topic | Problem | Solution |
|---|---|---|
| None | Find the eigenvalues and corresponding eigenvecto… | First we find the eigenvalues. They are the roots of the characteristic equation, \( det(A - \lambd… |