Question

let u = ( 2,1,-2,3), V = (4,3,2,0), and w=(-5,-3,1,4) be vectors in R4 solve for X if (2w+x) = 3u +v + x

Answer 1

is X={x,y,z,w} a vector in \(R^4\)?

Answer 2

Did you copy the problem right?

Answer 3

Yes, thats pretty much it

Answer 4

Are you sure?\[2\mathbf w+\mathbf x=3\mathbf u+\mathbf v+\mathbf x\implies 2\mathbf w=3\mathbf u+\mathbf v\]yet
\[2\mathbf w=\begin{bmatrix}-10\\-6\\2\\8\end{bmatrix}\neq\begin{bmatrix}10\\6\\-4\\9\end{bmatrix}=3\mathbf u+\mathbf v\]Are you missing a coefficient somewhere?