Let u and v be column vectors of length n. Define A = 12. uv" and note that A is a square matrix of order n x n. Give the general element A;, j. What is the cost in number of operations to (a) create A from u and v in the computer? What is the operations cost of evaluating Ax, where x is a general column (b) vector of length n? (c) Give an alternative and less costly way, in operations, to evaluate Ax = (')x