Question

The eigen values of a Hermitian matrix are all

• A. real
• B. of modulus one
• C. imaginary
• D. zero

Answer 1

The correct option is A real

hermition matrix when$[A^{\theta }=A]$

$A=\left[\begin{array}{cc}a& b-ic\\ b+ic& d\end{array}\right]=A^{\theta }=\left[\begin{array}{cc}a& b+ic\\ b-ic& d\end{array}\right]$

The characteristic roots(eigen values) of a Hermitian matrix are real.