grandes-ecoles 2025 Q16b

grandes-ecoles · France · polytechnique-maths-a__mp Matrices Eigenvalue and Characteristic Polynomial Analysis

Prove that if a complex number $\lambda$ is an eigenvalue of $M$, then $-\lambda$ is also an eigenvalue of $M$ with the same multiplicity.

Prove that if a complex number $\lambda$ is an eigenvalue of $M$, then $-\lambda$ is also an eigenvalue of $M$ with the same multiplicity.