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

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

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