(Solved): (T/F) Every elementary row operation is reversible. (T/F) Elementary row operations on an augmented ...

(T/F) Every elementary row operation is reversible. (T/F) Elementary row operations on an augmented matrix never change the solution set of the associated linear system. (T/F) A $$5\times 6$$ matrix has six rows. (T/F) Two matrices are row equivalent if they have the same number of rows. (T/F) The solution set of a linear system involving variables $$\times 1,\dots ,xn$$ is a list of numbers $$(s1,\dots ,sn)$$ that makes each equation in the system a true statement when the variues $$s1,\dots ,sn$$ are substituted for $$\mathrm{x}1\dots .\mathrm{xn}$$, respectively. (T/F) An inconsistent system has more than one solution. (T/F) Two fundamental questions about a linear system involve existence and uniqueness. (T/F) Two linear systems are equivalent if they have the same solution set. Section $$1.2$$ (T/F) In some cases, a matrix may be row reduced to more than one matrix in reduced echelon form, using different sequences of row operations. (T/F) The echelon form of a matrix is unique. (T/F) The row reduction algorithm applies only to augmented matrices for a linear system. (TIF) The pivot positions in a matrix depend on whether row interchanges are used in the row reduction process. (T/F) A basic variable in a linear system is a variable that corresponds to a pivot column in the coefficient matrix. (T/F) Reducing a matrix to echelon form is called the forward phase of the row reduction process. (T/F) Finding a parametric description of the solution set of a linear system is the same as solving the system. (T/F) Whenever a system has free variables, the solution set contains a unique solution. (T/F) If one row in an echelon form of an augmented matrix is [00005], then the associated linear system is inconsistent. (T/F) A general solution of a system is an explicit description of all solutions of the system.