Transformation Presets:
Basis Vector e1 [1,0] / Col 1
Basis Vector e2 [0,1] / Col 2
Eigenvector v1 / Invariant Line 1
Eigenvector v2 / Invariant Line 2
Matrix A
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Matrix Analysis
Trace (tr A):
4.00
Determinant (det A):
3.00
Discriminant (Δ):
4.00
Characteristic Polynomial det(A - λI) = 0:
λ² - 4.00λ + 3.00 = 0
Eigenspace E(λ)
λ1 = 3.00
v1 = [0.71, 0.71]
λ2 = 1.00
v2 = [-0.71, 0.71]
⚠️ Complex Eigenvalues: Pure spatial rotation with no real invariant directional lines.