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
