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.
2026-03-28 13:59:13.1774706353
Solving a matrix equation with overdetermined case
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