Question

O autovalor associado a matriz 4 3 e o autovetor 1 é:
4 3 1

a) 7
b) 4
c) 1
d) 3

Answer 1

$Av=\lambda v \to\\\\ \left[\begin{array}{cc}4&3\\4&3\end{array}\right] . \left[\begin{array}{c}1\\1\end{array}\right]= \lambda \left[\begin{array}{c}1\\1\end{array}\right]\to\\\\\\ \left[\begin{array}{c}7\\7\end{array}\right] = \lambda \left[\begin{array}{c}1\\1\end{array}\right]\to\\\\\\ \large\boxed{\lambda=7}\\\\\\ Resposta: ~Letra~~a)~7$