Question

socorro preciso de ajuda por favor
sejam as matrizes A e B abaixo .encontre os valores de C e D supondo que A=B​

Answer 1

$\Large\boxed{\begin{array}{l}\sf A=\begin{bmatrix}\sf c+d&\sf2\\\sf 2c-d&\sf4\end{bmatrix}\\\\\sf B=\begin{bmatrix}\sf3&\sf2\\\sf9&\sf4\end{bmatrix}\\\\\sf A=B\iff\begin{bmatrix}\sf c+d&\sf2\\\sf2c-d&\sf4\end{bmatrix}=\begin{bmatrix}\sf3&\sf2\\\sf9&\sf4\end{bmatrix}\\\\\begin{cases}\sf c+d=3\\\sf 2c-d=9\end{cases}\end{array}}$

$\Large\boxed{\begin{array}{l}+\underline{\begin{cases}\sf c+\backslash\!\!\!d=3\\\sf 2c-\backslash\!\!\!d=9\end{cases}}\\\sf 3c=12\\\sf c=\dfrac{12}{3}\\\\\sf c=4\\\sf c+d=3\\\sf 4+d=3\\\sf d=3-4\\\sf d=-1\end{array}}$