Question

calcular os valores de w e x para que as matrizes A e B sejam iguai
A= $\left[\begin{array}{ccc}w^2-40&x^2+4\\6&3\\\end{array}\right]$ e B= $\left[\begin{array}{ccc}41&13\\6&3\\\end{array}\right]$

Answer 1

$A = B$

$\left[\begin{array}{ccc}(w^2 - 40)&&(x^2+4)\\6&&3\\&&\end{array}\right] = \left[\begin{array}{ccc}41&&13\\6& &3\\&&\end{array}\right]$


$(w^2 - 40) = 41$

$w^2 = 41 +40 w = \sqrt{81}$

$w = 9$

$x^2 +4 = 13$

$x= \sqrt{17}$