Q.31 consider the linear system ax=b, where a is an m xn matrix. x is an n x1 vector of unknowns and b is an mx1 vector. further, suppose there exists an m x1 v

Q.31 Consider the linear system AX=b, where A is an m xn matrix. X is an n x1 vector of unknowns and b is an mx1 vector. Further, suppose there exists an m x1 vector such that the linear system AX=¢ has NO solution. Then, which of the following statements is/are necessarily TRUE? (A) If m Sn and d is the first column of A, then the linear system Axed has a unigue solution (B) If m2 n, then Rank(A) < n test for Ba (C)Rank(A) n, then the linear system Ax = 0 has a solution otho pint Admis nstitute of Scih ginsttu fangalore"