2. [4p] Recall that Rm denotes the set of all m x n matrices with real number entries. How many of the following assertions are correct? (i) In a product of matrices AB the matrix B maps rows of A to rows of AB. (ii) In a product of matrices AB rows of A are multiplied by columns of B. (iii) A matrix A of size m x n maps n-columns x to m-columns Ax.