Conjugate Transpose and Hermitian

Dependencies:

1. Matrix

The conjugate transpose of a matrix $A$ over $\mathbb{C}$ is defined to be the complex conjugate of $A^T$. The conjugate transpose is denoted by $A^*$.

\[ (A^*)[i, j] = \overline{A[j, i]} \]

$A$ is said to be hermitian iff $A = A^*$.

Dependency for:

1. Symmetric operator iff hermitian
2. Orthogonally diagonalizable iff hermitian

Info:

• Depth: 3
• Number of transitive dependencies: 4

Transitive dependencies:

1. Group
2. Ring
3. Semiring
4. Matrix