Sensitivity analysis: which changes leave the current basis optimal

Consider the statements: (1) Changing basic objective function coefficient $c_j$ will affect the entire 0-row to change. (2) Changing right-hand side of a constraint will retain the current basis to be optimal even if the constraint is negative. (3) Changing the column of a non-basic variable $x_j$ will affect the coefficient of $x_j$ in row-0; if it is still non-negative the current basis is optimal. Which of the above are correct?