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If you mean what does something like SL(3, R) mean, it is the group of all 3X3 matrices with determinant 1, with real entries, under matrix multiplication.
Yes, the result is a 3x3 matrix
It is the product of the three diagonal elements.
You can only add a 3x3 matrix to another matrix of the same size. The reuslt is a 3x3 matrix where each element is the sum of the elements in the corresponding positions in the two summand matrices.Symbolically,if A = {aij} and B = {bij} then A + B = {aij + bij}where i=1,2,3 and j = 1,2,3
3-x,-1,1, -1,5-x,-1 1,-1,3-x