Question

Given the matrixes A and B shown below ,to solve for X in the equation -A+2x=3B A=[-3 12 -3 -8 ] b=[-11 0 -5 -2 ]

Answer 1

Answer:

The value of x fro the given matrixes equation is $\begin{bmatrix}- 15& - 6 & - 9 & 1\end{bmatrix}$  

Step-by-step explanation:

Given matrixes equation as :

A + 2 x = 3 B

Where A = $\begin{bmatrix}- 3 & 12 & - 3 & 8\end{bmatrix}$

B =  $\begin{bmatrix}- 11& 0 & - 5 & - 2\end{bmatrix}$

So ,

$\begin{bmatrix}- 3 & 12 & - 3 & 8\end{bmatrix}$ + 2 x = 3  $\begin{bmatrix}- 11& 0 & - 5 & - 2\end{bmatrix}$

Or, 2 x = $\begin{bmatrix}- 33& 0 & - 15 & - 6\end{bmatrix}$ - $\begin{bmatrix}- 3 & 12 & - 3 & 8\end{bmatrix}$

Or,  2 x = $\begin{bmatrix}- 33& 0 & - 15 & - 6\end{bmatrix}$ + $\begin{bmatrix} 3 &- 12 & 3 & - 8\end{bmatrix}$

Or, 2 x =  $\begin{bmatrix}- 33 + 3& 0 - 12 & - 15 - 3 & - 6 + 8\end{bmatrix}$

Or , 2 x =  $\begin{bmatrix}- 30& - 12 & - 18 & 2\end{bmatrix}$

Or, x = $\frac{\begin{bmatrix}- 30 & - 12 & - 18 & 2\end{bmatrix}}{2}$

∴   x =  $\begin{bmatrix}- 15& - 6 & - 9 & 1\end{bmatrix}$

Hence The value of x fro the given matrixes equation is $\begin{bmatrix}- 15& - 6 & - 9 & 1\end{bmatrix}$    Answer