Question

Sejam a= (aij) 2x2 com aij= i+J e b (bij) =j+i determine a matriz c tal que c= a. B

Answer 1

Olá Bre4n,
Como vai?
Vamos lá:

$A=\left[\begin{array}{ccc}a_{11}&a_{12}\\a_{21}&a_{22}\end{array}\right]\\ \\ a_{11}=1+1\\ a_{11}=2\\ \\ a_{12}=1+2\\ a_{12}=3\\ \\ a_{21}=2+1\\ a_{21}=3\\ \\ a_{22}=2+2\\ a_{22}=4\\ \\ A=\left[\begin{array}{ccc}2&3\\3&4\\\end{array}\right] \\ \\ ------\\ \\ B=\left[\begin{array}{ccc}b_{11}&b_{12}\\b_{21}&b_{22}\\\end{array}\right]\\ \\ b_{11}=1+1\\ b_{11}=2\\ \\ b_{12}=2+1\\ b_{12}=3\\ \\ b_{21}=1+2\\ b_{21}=3\\ \\ b_{22}=2+2\\ b_{22}=4$

$B= \left[\begin{array}{ccc}2&3\\3&4\\\end{array}\right] \\ \\ C=A*B\\ \\ C= \left[\begin{array}{ccc}2&3\\3&4\\\end{array}\right] *\left[\begin{array}{ccc}2&3\\3&4\\\end{array}\right] \\ \\ C= \left[\begin{array}{ccc}2\cdot 3+3\cdot 3&2\cdot 3+3\cdot 4\\3\cdot 2+4\cdot 3&3\cdot 3+4\cdot 4\\\end{array}\right]\\ \\ \\ \boxed{\boxed{C= \left[\begin{array}{ccc}15&18\\18&25\\\end{array}\right] }}$

Espero ter ajudado (: