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Consider the accompanying matrix as the augmented matrix of a linear system. State in words the next two elementary row operations 1 - 4 5 0 that should be performed in the process of solving the system. 0 3 -7 0 4 0 0 1 3 -2 0 0 4 7 7 . . . . . What should be the first elementary row operation performed? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. Scale row 1 by (Type an integer or a simplified fraction.) O B. Interchange row 3 and row 2. O C. Replace row 4 by its sum with times row 3. (Type an integer or a simplified fraction.) O D. Replace row 2 by its sum with times row 4. (Type an integer or a simplified fraction.)The augmented matrix of a linear system has been reduced by row operations to the form shown. Continue the appropriate row operations and describe the solution set of the original system. 1 7 2 _ 4 0 0 0 3 0 0 1 1 0 1 - 1 2 Select the correct choice below and, if necessary, ll in the answer boxes to complete your choice. O A- The solution set has exactly one element, (I , , (Type integers or simplied fractions.) O B. The solution set has inntely many elements. 0 C. The solution set is empty. The augmented matrix of a linear system has been reduced by row operations to the form shown. Continue the appropriate row operations and 1 -260 describe the solution set of the original system. O 150 O 0 20 . . . . . Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The solution set contains one solution, (Type integers or simplified fractions.) O B. The solution set has infinitely many elements. O C. The solution set is empty.The augmented matrix of a linear system has been reduced by row operations to the form shown. Continue the appropriate row 1 2 0 0 - 5 operations and describe the solution set of the original system. 0 1 3 0 - 7 0 1 - 1 3 0 0 0 1 2 . . . . . Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The solution has infinitely many elements. O B. The solution set contains one solution: (Type integers or simplified fractions.) O C. The solution set is empty.Next Question Solve the system. X 1 - 3X3 = 7 2x1 + 4X2 + 7X3 = 25 2X2 + 4X3 = 8 . . . . . Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The unique solution of the system is (Type integers or simplified fractions.) O B. The system has infinitely many solutions. O C. The system has no solution.Determine the value(s) of h such that the matrix is the augmented matrix of a consistent linear system. 1 h 5 -2 8 -15 Select the correct choice below and, if necessary, ll in the answer box to complete your choice. OA. - The matrix Is the augmented matrix of a consistent linear system if h= |:. The matrix is the augmented matrix of a consistent linear system if h at |:. (Use a comma to separate answers as needed. Type an integer or a simplied fraction.) (Use a comma to separate answers as needed. Type an integer or a simplied fraction.) . The matrix is the augmented matrix of a consistent linear system for every value of h. . The matrix is not the augmented matrix of a consistent linear system for any value of h. Determine the value(s) of h such that the matrix is the augmented matrix of a consistent linear system. - 8 28 h -7 -5 . . . . . Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The matrix is the augmented matrix of a consistent linear system if h = (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) O B. The matrix is the augmented matrix of a consistent linear system if h # (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) O C. The matrix is the augmented matrix of a consistent linear system for every value of h. O D. The matrix is not the augmented matrix of a consistent linear system for any value of h.Determine whether the statement below is true or false. Justify the answer. Every elementary row operation is reversible. Choose the correct answer below. 0 A. The statement is false. The only reversible row operation is interchanging two rows. 0 B. The statement is false. The only reversible row operations are scaling a row and interchanging two rows. 0 C. The statement is true. Interchanging can be reversed by scaling, and scaling can be reversed by replacement. 0 D. The statement is true. Replacement, interchanging, and scaling are all reversible