State whether the following statement is true or false: For the following linear system: x + y = 0, 401x + 10y = 400. The solution computed using only the permissible Gaussian Elimination row operations on a computer with two digits of significance is x = 4000, y = 4000. Permissible operations exclude the interchange of rows and multiplying a row by a scalar. For example, R1 = 400Ri is not permissible. The linear system x + y = 7, x + 10y = 1 is well-conditioned.