Thank you. I am trying to incorporate your suggestions but am stuck trying to do a simple thing. Can you please tell me how I may define the matrix E[a,~mu] (i.e. $E_a^\mu$) whose rows are given by the vectors $V,S,Theta,Phi$ mentioned in the opening question or in the worksheet attached below?
I have a confusions about the steps in my worksheet given below. It is highlighted in yellow.
I now want to construct the tensor $E_a^\mu$ whose rows are the vectors $V,S,\Theta,\Phi$ respectively i.e. $E_1^\mu = V^\mu$ and so on. I am not able to do this.
Finally, if I had defined the vector field V using the command
V := <1/(c*sqrt(1-beta^2)),-(v+c*beta)/(c*sqrt(1-beta^2)),0,0>
in the way matrices are defined within LinearAlgenra, would there be a difference in the way it is interpreted by the Physics package?
I am sorry if these are very naive questions. Any help would be greatly appreciated. Thank you.