(a) [5 points] Matrix addition The sum of a matrix A (having dimensions nm ) and a matrix B (having dimensions nm ) is the matrix C (of dimension nm ) having cell at row i and column j equal to: Cij=Aij+Bij Write a single SQL query to get the sum of A and B (in the same format as A and B ). Order the rows by increasing (i,j). (c) [5 points] Matrix multiplication The product of a matrix A (having dimensions nm ) and a matrix B (having dimensions mp ) is the matrix C (of dimension np ) having cell at row i and column j equal to: Cij=k=1mAikBkj In other words, to multiply two matrices, get each cell of the resulting matrix C,Cij, by taking the dot product of the i th row of A and the j th column of B. Write a single SQL query to get the matrix product of A and B (in the same format as A and B ). Order the rows by increasing (i,j)