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 1 _ 5 9 0 system. 0 1 7 0 O 050 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. 3;: A- The solution set contains one solution, ( , , ). (Type integers or simplied fractions.) ' '2' B. The solution set has infinitely many elements. l._ _:v C. The solution set is empty. Find the elementary row operation that transforms the first matrix into the second, and then find the reverse operation that transforms the second matrix into the first. -30 1 62 4 62 4. -30 1 -43-2 -432 (2) Find the elementary row operation that transforms the first matrix into the second. Choose the correct answer below. A- Multiply row 1 by and add the result to row 3. t B. Interchange row 1 and row 2. C. Interchange row 1 and row 3. 0- Multiply row1 by Solve the system X1 3x3 = 8 2x1+ 2x2 + 7x3 :11 x2+3x3=1 Select the correct choice below and, if necessary, ll in the answer boxes to complete your choice. '3' A- The unique solution of the system is ( , . ) (Type integers or simplified fractions.) ""3 B. The system has infinitely many solutions. E. J C. The system has no solution. 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 0 0 0 _ 1 system 01-13 0011 16 2-3 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. 4:3 A- The solution set has exactly one element, ( , , ). (Type integers or simplified fractions.) " B. The solution set has infintely many elements L) 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 describe the solution set of the 1 _1 0 0 _ 5 original system 0 1 -2 0 -6 001-32 00013 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. \":3 A- The solution set contains one solution: ( , , , ). (Type integers or simplified fractions.) . The solution has innitely many elements. . The solution set is empty. Determine if the given system is consistent. Do not completely solve the system. 2x1 + 6x3 = 10 x2 3x4 = 3 - 5x2 + 6x3 + x4 = 5 6x1 + 8x4 = _ 1 Choose the correct answer below, A. The system is consistent because the system can be reduced to a triangular form that indicates that a solution exists. if} B. The system is consistent because the system can be reduced to a triangular form that indicates that no solutions exist. . The system is inconsistent because the system can be reduced to a triangular form that contains a contradiction. if} D. The system is inconsistent because the system cannot be reduced to a triangular form. 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, 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.Consider the accompanying matrix as the augmented matrix of a linear system. State in words the next two elementary row operations that should be performed in the process of solving the system. 1 0 0 O -4 4 0 -2 3 -7 0 5 0 13 -3 0 21 19 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, - Replace row 2 by its sum with Scale row 1 by (Type an integer or a simplified fraction.) Interchange row 3 and row 2. (Type an integer or a simplified fraction.) Replace row 4 by its sum with (Type an integer or a simplified fraction.) times row 4' times row 3. Find the elementary row operation that transforms the first matrix into the second, and then find the reverse row operation that transforms the second matrix into the rst. 1-2101-210 3-22-5, 4-1-5 0 02-35 02-35 Find the elementary row operation that transforms the first matrix into the second. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. '33:? A- Scale row 2 by (Type an integer or a simplified fraction.) 9:3\" 3- Replace row 2 by its sum with times row 1. (Type an integer or a simplified fractions) '3' (3- Replace row 2 by its sum with times row 3. (Type an integer or a simplified fraction) C} D. Interchange row 2 and row 3
