I need to find an unknown matrix, H, from this equation:

K2 = Transpose[H].K1.H.

K1 and K2 are 2×2 matrices, and H is the unknown matrix, also 2×2. I know the first element of H, H(1,1)=1.

Can I simply use of some Mathematica functions? Because I tried with `Solve`

:

`Solve[K2==Transpose[H].K1.H] `

Doesn’t work.

Please help me.

Specifically I have this matrices:

` K1 = {{10385.46, -306.12}, {-306.12, 225.8}}; K2 = {{10049.794, 378.59}, {378.59, 1807.16}}; H = {{1, h12}, {h21, h22}}; `

For which I have this warning:

Solve was unable to solve the system with inexact coefficients. The answer was obtained by solving a corresponding exact system and numericizing the result