I have a matrix equation $\begin{bmatrix} a& e& i\\ b & f & j\\ c & g &k\\ d & h& l\end{bmatrix}.B=\begin{bmatrix} d& c&i\\ g&e&f\\ a&f&h\\ b&k&l\end{bmatrix}$, Here $B$ is $3\times 3$ matrix. This becomes an overdetermined systems. Is there any solution, and if not what conditions can be imposed on the matrix entries for the solution to exist.

  • $\begingroup$ Is $B$ a known, matrix with numerical entries ? $\endgroup$ – Jean Marie Jan 7 at 18:34
  • $\begingroup$ Have a look at pseudo inverse $\endgroup$ – Damien Jan 7 at 19:15
  • $\begingroup$ $B$ is the transformation matrix that i need to calculate,it is unknown $\endgroup$ – Upstart Jan 7 at 19:29

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