Somme et produit de matrices
Durée : 10 mn
Note maximale : 10
Question
\(A=\left[\begin{array}{c c c}2&3&5\\1&0&1\\2&1&0\end{array}\right]\) \(B=\left[\begin{array}{c c c}1&2\\1&0\\0&1\end{array}\right]\) \(C=\left[\begin{array}{c c c}2&3&1&4\\4&0&0&2\\1&0&1&0\end{array}\right]\)
\(D=\left[\begin{array}{c c c}2&0\\6&1\\0&1\end{array}\right]\) \(E=\left[\begin{array}{c c c}4&2&1\\1&1&1\end{array}\right]\) \(F=\left[\begin{array}{c c c}1&0&1&1\\0&1&1&1\\1&1&0&1\end{array}\right]\)
Effectuer les opérations suivantes si elles ont un sens :
\(\begin{array}{cccccc}B+D\\AB\end{array}\) \(\begin{array}{cccccc}C-2F\\BA\end{array}\) \(\begin{array}{cccccc}A+B\\BE\end{array}\) \(\begin{array}{cccccc}C-B\\EB\end{array}\) \(\begin{array}{cccccc}A^2\\CF\end{array}\) \(\begin{array}{cccccc}B^2\\CD\end{array}\) \(\begin{array}{cccccc}F^2\\DC\end{array}\) \(\begin{array}{cccccc}&\\BF\end{array}\)