FP3 matrices

Hi,

I'm told T is a transformation represented by the matrix M.

The vector

\begin{pmatrix} 2 \\ -1 \\ 0 \end{pmatrix}

is transformed by T to

\begin{pmatrix} -5 \\ -1 \\ 0 \end{pmatrix}

, the vector

\begin{pmatrix} 0 \\ -1 \\ 2 \end{pmatrix}

is transformed to

\begin{pmatrix} -1 \\ 9 \\ 0 \end{pmatrix}

and the vector

\begin{pmatrix} \alpha \\ 0 \\ 1 \end{pmatrix}

is transformed to

\begin{pmatrix} -\alpha +1 \\ 5 \\ 2\alpha +2 \end{pmatrix}

where

\alpha (\alpha \not= -1)

is a constant.

Find M.

I don't want an answer or even a hint to this problem yet, I just want to check whether it actually works. I've tried solving this in a few different ways and every time I end up with

\alpha = -1

.

Thank you :smile:

Reply 1

ghostwalker

Original post by so it goes

I don't want an answer or even a hint to this problem yet, I just want to check whether it actually works. I've tried solving this in a few different ways and every time I end up with