Determine whether the statement below is true or false. Justify the answer. If A is an mxn matrix and if the equation Ax=b is inconsistent for some b in Rm, then A cannot have a pivot position in every row. Choose the correct answer below. OA. This statement is false. If A is an mxn matrix and if the equation Ax=b is inconsistent for some b in Rm, then the equation Ax = b has a solution for each b in Rm. OB. This statement is true. If A is an mxn matrix and if the equation Ax=b is inconsistent for some b in R™, then the equation Ax = b has no solution for some b in R™. OC. This statement is false. Since the equation Ax=b has a solution for each b in R™, the equation Ax=b is consistent for each b in Rm. OD. This statement is true. If A is an mxn matrix and if the equation Ax=b is inconsistent for some b in R™, then the columns of A span R

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