solve the matrix equation
x-[2 -8 -4 2]=[4 -6 2 -8]
To solve the matrix equation x - [2 -8 -4 2] = [4 -6 2 -8], we need to find the value of x that satisfies the equation.
First, subtract the matrix [2 -8 -4 2] from both sides of the equation:
x - [2 -8 -4 2] = [4 -6 2 -8]
x = [4 -6 2 -8] + [2 -8 -4 2]
x = [6 -14 -2 -6]
Therefore, the solution to the matrix equation is x = [6 -14 -2 -6].
To solve the matrix equation $\mathbf{X}-\begin{bmatrix} 2 & -8 & -4 & 2 \end{bmatrix}=\begin{bmatrix} 4 & -6 & 2 & -8 \end{bmatrix}$, we need to isolate the matrix $\mathbf{X}$ on one side.
First, let's rearrange the equation:
$\mathbf{X}=\begin{bmatrix} 4 & -6 & 2 & -8 \end{bmatrix}+\begin{bmatrix} 2 & -8 & -4 & 2 \end{bmatrix}$
Next, we add the corresponding elements of the two matrices:
$\mathbf{X}=\begin{bmatrix} 4+2 & -6+(-8) & 2+(-4) & -8+2 \end{bmatrix}$
Simplifying further:
$\mathbf{X}=\begin{bmatrix} 6 & -14 & -2 & -6 \end{bmatrix}$
Therefore, the solution to the matrix equation is:
$\mathbf{X}=\begin{bmatrix} 6 & -14 & -2 & -6 \end{bmatrix}$
To solve the matrix equation x - [2 -8 -4 2] = [4 -6 2 -8], you need to isolate the variable x. To do this, you will need to subtract the matrix [2 -8 -4 2] from both sides of the equation.
Let's start by subtracting [2 -8 -4 2] from [4 -6 2 -8]:
[4 -6 2 -8] - [2 -8 -4 2] = [2 -6 6 -10]
Now we have the equation:
x = [2 -6 6 -10]
Therefore, the solution for x is [2 -6 6 -10].