Determine whether the statement is true or false. if it is true, explain why it is true. if it is false, give an example to show why it is false. if the augmented matrix corresponding to a system of three linear equations in three variables has a row of the form 000a, where a is a nonzero number, then the system has no solution. true. the row with the given form says 0x + 0y + 0z + 0a = 0. but if a ≠ 0, we have a contradiction. true. the row with the given form says 0x + 0y + 0z = a, or 0 = a. but if a ≠ 0, we have a contradiction. false. the row with the given form says 0x + 0y + 0z + 0a = 0. there is no contradiction; instead there are an infinite number of solution. false. that a row has the given form indicates that the matrix is not yet in row-reduced form, and more row operations are needed to determine the answer. false. the row with the given form indicates that an error was made in the calculation; this form should not occur in a correctly reduced matrix.