About this document
Real Eigenvalues of Hermitian Matrices by Aman Khera is a document available to read on EtoBox.
The document is a term paper on engineering mathematics that proves several properties of Hermitian matrices. It begins by defining eigenvectors, eigenvalues, and eigenspaces. It then proves that the eigenvalues of a Hermitian matrix are always real using the characteristic equation. It provides an example of computing the eigenvalues of a 2x2 Hermitian matrix. Finally, it uses these results to prove that the determinant of H - 3I cannot be zero if H is a Hermitian matrix and I is the identity matrix.
- Author
- Aman Khera
- Language
- EN