Problem 2. Translating index notation to/from matrix notation. Switch each of the following to matrix notation from index notation, or vice versa.. (a) R;R, = Ojk (b) Npw AMA, = NuV (c) guvA" B (treat A and B as column vectors in matrix form) (d) AA-1 = I (assume A is a Lorentz transformation matrix) (e) Tr(ABCD) (assume each of A, B, C, D are matrices with one upper and one lower index, like Lorentz transformations) Problem 2. Translating index notation to/from matrix notation. Switch each of the following to matrix notation from index notation, or vice versa.. (a) R;R, = Ojk (b) Npw AMA, = NuV (c) guvA" B (treat A and B as column vectors in matrix form) (d) AA-1 = I (assume A is a Lorentz transformation matrix) (e) Tr(ABCD) (assume each of A, B, C, D are matrices with one upper and one lower index, like Lorentz transformations)