Question

How to find eignvectors by inspection?

Answer 1

To find eigenvectors by inspection, follow these steps: find the eigenvalues of the matrix, substitute each eigenvalue back into the matrix and solve the equation, and the solutions will be the eigenvectors.

Step-by-step explanation:

To find eigenvectors by inspection, we can use the following steps:

1. Start by finding the eigenvalues of the matrix.
2. For each eigenvalue, substitute it back into the matrix and solve the equation (A - λI)x = 0, where A is the matrix, λ is the eigenvalue, and I is the identity matrix.
3. The solutions to this equation will be the eigenvectors corresponding to each eigenvalue.