Question that asks me to describe a vector x that satisfies: T ( x ) = [ − 8 9 2 ] Gven matrix: A = [ 1 3 1 − 2 1 5 0 2 2 ] 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. [ 1 0 − 2 0 0 1 1 0 0 0 0 1 ] I have tried putting the augmented matrix in reduced row echelon form above, but I am not sure where to go from there.

Question

Question that asks me to describe a vector x that satisfies:  T  (  x  )  =      [                            −          8                                      9                                      2                      ]  Gven matrix:  A  =      [                            1                          3                          1                                      −          2                          1                          5                                      0                          2                          2                      ]  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.      [                            1                          0                          −          2                          0                                      0                          1                          1                          0                                      0                          0                          0                          1                      ]  I have tried putting the augmented matrix in reduced row echelon form above, but I am not sure where to go from there.

torpa6d · Accepted Answer

You can definitely use mathjax in comments. There just isn&#039;t a preview, so you won&#039;t see the result beforehand:      ∫          −      ∞        ∞        e          −              x        2              d  x  =      π  That being said, I would rather you put that into the original post.