Write a MATLAB program to calculate the Euler angles $\backslash$alpha $\backslash$beta $\backslash$gamma when the user

enters the rotation matrix A

B

R $($the inverse problem$).$ Calculate both possible

solutions. Demonstrate this inverse solution for the two cases from part $($a$).$ Use

a circular check to verify your results $($i$.$e$.,$ enter Euler angles in code a from part

$($a$)$; take the resulting rotation matrix A

B

R$,$ and use this as the input to code b; you

get two sets of answers$$one should be the original user input, and the second can

be verified by once again using the code in part $($a$).$