Let $A = \left( \begin{array} { c c }
- 4 & - 9 \
4 & 8
\end{array} \right)$ , and consider the system $X ^ { \prime } = A X$ . The critical point $( 0,0 )$ of the system is a
A) stable node
B) unstable node
C) unstable saddle
D) stable spiral point
E) unstable spiral point

Question

Let $A = \left( \begin{array} { c c } 
- 4 & - 9 \
4 & 8
\end{array} \right)$ , and consider the system $X ^ { \prime } = A X$ . The critical point $( 0,0 )$ of the system is a
A) stable node
B) unstable node
C) unstable saddle
D) stable spiral point
E) unstable spiral point

Quizplus · Accepted Answer

The Answer of Let $A = \left( \begin{array} { c c } 
- 4 & - 9 \
4 & 8
\end{array} \right)$ , and consider the system $X ^ { \prime } = A X$ . The critical point $( 0,0 )$ of the system is a
A) stable node
B) unstable node
C) unstable saddle
D) stable spiral point
E) unstable spiral point

Let A=(−4−948)A = \left( \begin{array} { c c } - 4 & - 9 \\4 & 8\end{array} \right)A=(−44​−98​)

Let $A = \left( \begin{array} { c c } - 4 & - 9 \\4 & 8\end{array} \right)$