Can A Real Matrix Have Complex Eigenvalues? Since a real matrix can have complex eigenvalues (occurring in complex conjugate pairs), even for a real matrix A, U and T in the above theorem can be complex. Can eigenvalues be complex for real matrix? False. In general, a real matrix can have a complex number eigenvalue.
Are Rotation Matrices Diagonalizable? In general, a rotation matrix is not diagonalizable over the reals, but all rotation matrices are diagonalizable over the complex field. This matrix is not diagonalizable: there is no matrix U such that is a diagonal matrix. Which matrices are diagonalizable? A square matrix is said to be diagonalizable if it
What Does It Mean If An Operator Is Hermitian? What does it mean if an operator is hermitian? self-adjoint operator How do I know if my operator is Hermitian? For the matrix representing the operator, take its transpose (flip it on its diagonal) and then its complex conjugate (change the sign of imaginary components). If