This seems pretty simple but I am having a hard time figuring it out.
I need to find four variables, $\,a,\, b,\, c,\, d,\,$ and I have four equations:
1) $\;u_1a -v_1b + c = u_1' $
2) $\;u_1b -v_1a + d = v_1' $
3) $\;u_2a -v_2b + c = u_2' $
4) $\;u_2b -v_2a + d = v_2' $
Note that $\,u_1,\, v_1,\, u_1', \,v_1',\, u_2, \,v_2, \,u_2',\, v_2'\,$ are all known.
I tried to do substitution (setting one equation to one variable and plugging in) but it got messy and then I got lost.
Any suggestions to how to solve for the four variables, $a,b,c,d$?
This is for similarity transform