Question 2 (marks: 3+2 = 5) ax = = V -Y с V Y- 41 42 OLA (a) Using the fact that ĀM = "A" -A' can be written in terms of

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Question 2 (marks: 3+2 = 5) ax = = V -Y с V Y- 41 42 OLA (a) Using the fact that ĀM = "A" -A' can be written in terms of matrix multiplication as: axy 0 0] A Y 0 AP 0 0 1 0 0 0 1 define the inverse Lorentz transformation in terms of matrix multiplication so that axt AM = LA AY ди, Then find the components of the matrix E. (HINT: You need to start from the inverse Lorentz transformation equations and show all the partial derivatives to get full marks.) (b) Show that the relativistic 3-momentum reduces to the classical expression for momentum in the classical regime (v <<c).