Jonathan Miles

2022-07-06

Question that asks me to describe a vector x that satisfies:
$T\left(x\right)=\left[\begin{array}{c}-8\\ 9\\ 2\end{array}\right]$
Gven matrix:
$A=\left[\begin{array}{ccc}1& 3& 1\\ -2& 1& 5\\ 0& 2& 2\end{array}\right]$
also aware that T(x) = Ax. I would like to know the general process for finding what x is when given the output vector and a matrix to be multiplied by the unknown input vector x.
$\left[\begin{array}{cccc}1& 0& -2& 0\\ 0& 1& 1& 0\\ 0& 0& 0& 1\end{array}\right]$
I have tried putting the augmented matrix in reduced row echelon form above, but I am not sure where to go from there.

torpa6d

Expert

You can definitely use mathjax in comments. There just isn't a preview, so you won't see the result beforehand:
${\int }_{-\mathrm{\infty }}^{\mathrm{\infty }}{e}^{-{x}^{2}}dx=\sqrt{\pi }$
That being said, I would rather you put that into the original post.

Do you have a similar question?