Normally I use the controllability and observability canonical forms to transform a transfer function into a state space model.
I also find the poles, zeros and gain from a state space model to transform the transfer function into a transfer function.
But this is only in SISO-case. How would it be if I have a MIMO state space model and I want to transform that into a MIMO transfer function matrix?
I know that if the column length of the $B$-matrix is $2$ and the row length of $C$-matrix is $2$, then I will have a transfer function matrix of the dimension $2 \times 2$.
So can I still use the controllability and observability canonical forms to compute the MIMO transfer function matrix, into a MIMO state space model, just by using only one column of $B$-matrix and one row of the $C$-matrix at each time?
And if I want to transform a MIMO state space model into a MIMO transfer function, I need to find the poles, zeros and gain for each row and column from $C$ and $B$ matrix?
Are that correct?