Suppose I have a matrix P = \begin{bmatrix}x⊗x&x⊗y\\y⊗x&y⊗y\end{bmatrix} which is equal to another matrix Q = \begin{bmatrix}a&b\\c&d\end{bmatrix}.
Is it possible to solve for x and y.
Since xy and yx are equal to b and c and are not the same, the elements in the matrix P are outer product of two matrices x and y.
Is it possible to solve for x and y such that xy and yx can be made predictable.
Kindly let me know if I am not clear.
Thank you for the kind help.