IB Maths AI HL AHL 1.15 (HL)—Eigenvalues and eigenvectors Question Bank

• Find eigenvalues/eigenvectors and characteristic polynomial for 2x2 matrices.

• Diagonalize 2x2 matrices with distinct real eigenvalues.

• Use M^n=PD^nP^-1 for powers and applications such as population movement or predator-prey models.