Consider the problem of multiplying two n x n matrices A (a) and Bb elements are real numbers. Let C(j) denote the product AB. whose (a) Write down an algebraic formula for the element GJ of C which is in row i and column j. (Write one line. Your formula should involve elements ai,k of matrix A and elements bej of matrix B.) (b) Write down a simple expression for the total number of real number arithmetic operations (that is, multiplications and additions) needed to compute the single element cij, according to your formula in part (a ). (c) Hence, using notation, write down an estimate for the total number of real number arithmetic operations needed to compute all the elements ciy of the matrix C. Include brief justification