Linear Algebra · Algebra
Eigenvalues and Eigenvectors
An eigenvector is a direction the transformation leaves unchanged. Diagonalization writes A = PDP⁻¹, making long-run behavior transparent.
WHAT STUDENTS WILL LEARN
✓Find eigenvalues via det(A − λI) = 0
✓Find eigenvectors for each eigenvalue
✓Diagonalize matrices
✓Apply to matrix powers and linear recurrences
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