Select a square matrix (3 x 3 or larger) from anywhere in our textbook, outside of chapter 7. Call the matrix A and make sure you tell us what the matrix is. Then: 1. Give all the eigen-information for the matrix A, including: A = Ow 1. Characteristic Polynomial 2. Eigenvalues and eigenvectors 3. Algebraic multiplicity 4. Geometric multiplicity 5. Eigenspaces 2. State whether or not we can use the eigenvectors of A to form an eigenbasis. If so, state the eigenbasis. 3. State whether or not the matrix is defective or non-defective. 4. State if the matrix is diagonalizable and state how you know. 5. If the matrix is diagonalizable, then diagonalize the matrix