Question

Determinati numerele reale x pentru care det ( A + xB)=0
$A= \left[\begin{array}{ccc}-3&1\\2&-2\ \end{array}\right]$ și $B= \left[\begin{array}{ccc}0&1\\1&0\\\end{array}\right]$.

Answer 1

$\left(\begin{array}{ccc}-3&1\\2&-2\end{array}\right) +x \left(\begin{array}{ccc}0&1\\1&0\end{array}\right)= \left(\begin{array}{ccc}-3&1\\2&-2\end{array}\right) +\left(\begin{array}{ccc}0&x\\x&0\end{array}\right)=$=$\left(\begin{array}{ccc}-3&1+x\\2+x&-2\end{array}\right)$

det ( A + xB)= $\left[\begin{array}{ccc}-3&1+x\\2+x&-2\end{array}\right] =$