Question

On the Argand plane, eigenvalues of any unitary matrix lie on

• A. Real axis
• B. Imaginary axis
• C. A unit circle with centre at origin
• D. Outside a unit circle with centre at origin

Hint:

For a unitary matrix: \[ U^{*}U=I \] and every eigenvalue satisfies \[ |\lambda|=1. \] Hence all eigenvalues lie on the unit circle of the Argand plane.

Answer 1

The Correct Option is C