Question

Ajutor! Matrice de clasa a 11 .

Answer 1

$B=A_1+A_2+...+A_5\\B=\left(\begin{array}{ccc}2^1&2*1\\-1&0\end{array}\right) +\left(\begin{array}{ccc}2^2&2*2\\-1&0\end{array}\right) +...+\left(\begin{array}{ccc}2^5&2*5\\-1&0\end{array}\right)\\ B=\left(\begin{array}{ccc}S_1&S_2\\S_3&S_4\end{array}\right)$

unde:

$S_1=2+2^2+2^3+2^4+2^5\\S_2=2*1+2*2+2*3+2*4+2*5\\S_3=(-1)+(-1)+(-1+(-1)+(-1) \\S_4=0+0+0+0+0$

Rezulta:

$S_1=2+4+8+16+32=62\\S_2=2*(1+2+3+4+5)=2*15=30\\S_3=-5\\S_4=0*5=0$

Suma elementelor :

$S=S_1+S_2+S_3+S_4=62+30-5=87$