Quiz de maths — Algèbre linéaire

$2\times 2$

$1\times 2$

$1\times 1$

$2\times 1$

$\left(\begin{array}{cc}2& 2\\ 3& -1\end{array}\right)$

$\left(\begin{array}{cc}0& 2\\ 3& 1\end{array}\right)$

$\left(\begin{array}{cc}1& 2\\ 3& 9\end{array}\right)$

$\left(\begin{array}{cc}0& 2\\ 3& 9\end{array}\right)$

$\left(\begin{array}{cc}8& -3\\ 1& 7\end{array}\right)$

$\left(\begin{array}{cc}6& -9\\ 3& 12\end{array}\right)$

$\left(\begin{array}{cc}6& -6\\ 3& 11\end{array}\right)$

$\left(\begin{array}{cc}5& -6\\ 2& 8\end{array}\right)$

$\left(\begin{array}{cc}2& -1\\ 3& 12\end{array}\right)$

$\left(\begin{array}{cc}4& -1\\ 3& 12\end{array}\right)$

$\left(\begin{array}{cc}4& -1\\ 1& 12\end{array}\right)$

$\left(\begin{array}{cc}2& -1\\ 3& 4\end{array}\right)$

$7$

$15$

$14$

$13$

Non, car $\det B=0$

Non, car elle n’est pas triangulaire

Oui, car c’est une matrice carrée

Oui, car $\det B\ne 0$

$\frac{1}{5}\left(\begin{array}{cc}4& 1\\ -3& 2\end{array}\right)$

$\frac{1}{5}\left(\begin{array}{cc}4& -1\\ -3& 2\end{array}\right)$

$\frac{1}{5}\left(\begin{array}{cc}2& -3\\ -1& 4\end{array}\right)$

$\frac{1}{5}\left(\begin{array}{cc}4& -3\\ -1& 2\end{array}\right)$

$(4,0.5)$

$(1,2)$

$(2,1.5)$

$(3,1)$