The Characteristic Equation Of $A = \left( \begin{array} { l l } 1 & - 3 \\2 & - 4\end{array} \right)$

Multiple Choice

The characteristic equation of $A = \left( \begin{array} { l l } 1 & - 3 \\2 & - 4\end{array} \right)$ is

A) $\lambda ^ { 2 } + 3 \lambda - 2 = 0$
B) $\lambda ^ { 2 } + 5 \lambda + 2 = 0$
C) $\lambda ^ { 2 } - 5 \lambda + 2 = 0$
D) $\lambda ^ { 2 } + 3 \lambda + 2 = 0$
E) $\lambda ^ { 2 } - 3 \lambda + 2 = 0$