The eigenvalues of $A = \left( \begin{array} { c c }
- 3 & - 5 \
1 & - 1
\end{array} \right)$ is
A) $- 2 \pm \sqrt { 2 }$
B) $2 \pm \sqrt { 2 }$
C) $- 2 \pm 2 i$
D) $2 \pm 2 i$
E) $2 \pm 2 \sqrt { 3 }$

Question

The eigenvalues of $A = \left( \begin{array} { c c } 
- 3 & - 5 \
1 & - 1
\end{array} \right)$ is
A) $- 2 \pm \sqrt { 2 }$
B) $2 \pm \sqrt { 2 }$
C) $- 2 \pm 2 i$
D) $2 \pm 2 i$
E) $2 \pm 2 \sqrt { 3 }$

Quizplus · Accepted Answer

The characteristic equation of matrix $A$ is $\lambda^2 + 4\lambda + 5 = 0$, which has roots $-2 \pm 2i$.

The Eigenvalues Of A=(−3−51−1)A = \left( \begin{array} { c c } - 3 & - 5 \\1 & - 1\end{array} \right)A=(−31​−5−1​)

The Eigenvalues Of $A = \left( \begin{array} { c c } - 3 & - 5 \\1 & - 1\end{array} \right)$