Respuesta :
Answer:
The value of x fro the given matrixes equation is [tex]\begin{bmatrix}- 15& - 6 & - 9 & 1\end{bmatrix}[/tex]
Step-by-step explanation:
Given matrixes equation as :
A + 2 x = 3 B
Where A = [tex]\begin{bmatrix}- 3 & 12 & - 3 & 8\end{bmatrix}[/tex]
B = [tex]\begin{bmatrix}- 11& 0 & - 5 & - 2\end{bmatrix}[/tex]
So ,
[tex]\begin{bmatrix}- 3 & 12 & - 3 & 8\end{bmatrix}[/tex] + 2 x = 3 [tex]\begin{bmatrix}- 11& 0 & - 5 & - 2\end{bmatrix}[/tex]
Or, 2 x = [tex]\begin{bmatrix}- 33& 0 & - 15 & - 6\end{bmatrix}[/tex] - [tex]\begin{bmatrix}- 3 & 12 & - 3 & 8\end{bmatrix}[/tex]
Or, 2 x = [tex]\begin{bmatrix}- 33& 0 & - 15 & - 6\end{bmatrix}[/tex] + [tex]\begin{bmatrix} 3 &- 12 & 3 & - 8\end{bmatrix}[/tex]
Or, 2 x = [tex]\begin{bmatrix}- 33 + 3& 0 - 12 & - 15 - 3 & - 6 + 8\end{bmatrix}[/tex]
Or , 2 x = [tex]\begin{bmatrix}- 30& - 12 & - 18 & 2\end{bmatrix}[/tex]
Or, x = [tex]\frac{\begin{bmatrix}- 30 & - 12 & - 18 & 2\end{bmatrix}}{2}[/tex]
∴ x = [tex]\begin{bmatrix}- 15& - 6 & - 9 & 1\end{bmatrix}[/tex]
Hence The value of x fro the given matrixes equation is [tex]\begin{bmatrix}- 15& - 6 & - 9 & 1\end{bmatrix}[/tex] Answer
