Hermitian Eigenvalue Explorer
Drag matrix entries — the moment the matrix becomes Hermitian, eigenvalues snap to the real axis and stay there no matter how you twirl the complex entries.
Matrix A = [[a, b], [c, d]]
a (real)
b (complex: Re + i·Im)
c = b* (Hermitian) / free
d (real)
Hermitian: c = b* ✓
σ_y
σ_x
Non-Hermitian
Antisymmetric
Enforce Hermitian (c = b*)
λ₁ =
−1.000
λ₂ =
+1.000
Hermitian?
Yes
λ real?
Yes