These quantities must be real when all of the complex entries equal their conjugate transpose, as is
These quantities must be real when all of the complex entries equal their conjugate transpose, as is the case in a Hermitian matrix. They can be obtained by solving the determinant of the matrix minus these variables times the identity matrix and solving for zero, a process that yields the characteristic equation of the matrix. For 10 points, identify this scalar value, usually symbolized by lambda, that indicates that a matrix times some vector x is equal to this integer quantity times the vector x.
These quantities must be real when all of the complex entries equal their conjugate transpose, as is the case in a Hermitian matrix.
{Eigenvalues} (or {Characteristic Roots}, {Characteristic Values}, {Proper Values}, or {Latent Roots})