Characteristic equation of the matrix $\left[\begin{array}{cc}2 & \sqrt{2} \\ \sqrt{2} & 1\end{array}\right]$ with Eigen value $\lambda$ is
(A) $\lambda^{2}+3 \lambda+4=0$
(B) $\lambda^{2}+3 \lambda-2=0$
(C) $\lambda^{2}-3 \lambda=0$
(D) $\lambda^{2}+3 \lambda=0$
Characteristic equation of the matrix $\left[\begin{array}{cc}2 & \sqrt{2} \\ \sqrt{2} & 1\end{array}\right]$ with Eigen value $\lambda$ is
(A) $\lambda^{2}+3 \lambda+4=0$
(B) $\lambda^{2}+3 \lambda-2=0$
(C) $\lambda^{2}-3 \lambda=0$
(D) $\lambda^{2}+3 \lambda=0$