I think you misunderstood the question. There is a matrix which satisfies
The question is asking can we find a matrix which satisfies the equation and we can
is one example
Yes, I did misunderstand the question.
One way to do it would be to assume that , do the multiplication, equate entries and solve the resulting four linear equations (infinite number of solutions).
One way to do it would be to assume that , do the multiplication, equate entries and solve the resulting four linear equations (infinite number of solutions).
That is indeed how I did it (same letters and everything!)