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1. (20) Matrices A and B below are row equivalent. For each of the concepts following, choose (check) one mathematical statement that can be made concerning the following properties of the matrix A. 40 01 0.5 B= -1.5 0 -4.95 -4.75 0.0404 (a) The columns of A are dependent, are independent. complete a linear transformation. All of the above. None of the above. (b) The span of the columns of A Include all of R form an incomplete set because there are no free variables. Intersect each other when plotted on the same graph. All of the above. None of the above. (c) The reduced row echelon form of A shows that A has four pivots. the columns of A are independent. the columns of A span all of R. E All of the above. None of the above. (d) Is A invertible? Why or why not. Yes, because there are no rows of all zeros in B. No, because B has no free variables. Yes, because A has four pivots All of the above. None of the above