For the first one, the 4x5 matrix would score the amount of times that each unit of scoring occurs - and then this NEW matrix would be how many POINTS for those type of units for each team to get a total.
Now, with the original matrix being 4x5, you can only PRE-multiply this transition matrix if it has (1x4) so that the multiplication of the two matrix is defined.
Conversely, if you are POST-multiplying it would need to be (5x1) for the opposite reason - however there are only 4 values for the scores so this is not going to work.
Matrix A has 5 values so it's wrong.
Matrix B is 4x1, when it needs to be 1x4 for pre-multiplying.
Matrix C is 1x4, when it needs to be 5xsomething which wouldn't work anyway.
Matrix E is just wrong from the get go - you can't add a matrix to transition into totals.
Therefore it's Matrix D, which has the correct 1x4 for pre-multiplying.
As for the second question, I am legitimately thrown by that one :S
Does it have any working out for that answer?