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Q: Find eigenvalues and eigenvectors of [[2,1],[1,2]]. det[[2-λ,1],[1,2-λ]] = (2-λ)²-1 = λ²-4λ+3 = (λ-3)(λ-1). λ = 3: [[-1,1],[1,-1]]v = 0: v = (1,1)! λ = 1: [[1,1],[1,1]]v = 0: v = (1,-1)! Eigen: 3 (dir (1,1)), 1 (dir (1,-1))!