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The reduced row echelon form of a system of linear equations is given. Write the system of equations corresponding to the given matrix. U system is consistent or inconsistent. If it is consistent, give the solution. 1 0 3 3 0 1 - 9 - 3 0 0 ..... O A. The system is consistent. The solution is ( II). (Simplify vour answers.)

The reduced row echelon form of a system of linear equations is given. Write the system of equations corresponding to the given matrix. U system is consistent or inconsistent. If it is consistent, give the solution. 1 0 3 3 0 1 - 9 - 3 0 0 ..... O A. The system is consistent. The solution is ( II). (Simplify vour answers.)

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.CT: Chapter Test
Problem 10CT
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The reduced row echelon form of a system of linear equations is given. Write the system of equations corresponding to the given matrix. Use x, y, and z as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. 1 0 3 3 0 1 -9-3 0 0 ..... O A. The system is consistent. The solution is (Simplify your answers.) O B. There are infinitely many solutions. The solution can be written as {(x,y,z)|x= (Simplify your answers. Type expressions using z as the variable.) z is any real number}. y= O C. There are infinitely many solutions. The solution can be written as {(x,y,z)|x= (Simplify your answer. Type an expression using y and z as the variables.) y is any real number, z is any real number}. O D. The system is inconsistent,
Transcribed Image Text:The reduced row echelon form of a system of linear equations is given. Write the system of equations corresponding to the given matrix. Use x, y, and z as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. 1 0 3 3 0 1 -9-3 0 0 ..... O A. The system is consistent. The solution is (Simplify your answers.) O B. There are infinitely many solutions. The solution can be written as {(x,y,z)|x= (Simplify your answers. Type expressions using z as the variable.) z is any real number}. y= O C. There are infinitely many solutions. The solution can be written as {(x,y,z)|x= (Simplify your answer. Type an expression using y and z as the variables.) y is any real number, z is any real number}. O D. The system is inconsistent,
Write the system of equations corresponding to the augmented matrix. Then perform the row operations R, = - 4r2 + r, and R3 = 2r2 + r3 on the given augmented matrix. 9 -4 1 -7 2 -7 5 -7 -4 1 2 6 - 4x +y+ 2z = 6w - 4x + y+2z +6 = 0 Perform the row operations R, = - 4r, +r, and R3 = 2r, +r3 on the original matrix given in the problem statement, and enter the resulting matrix below.
Transcribed Image Text:Write the system of equations corresponding to the augmented matrix. Then perform the row operations R, = - 4r2 + r, and R3 = 2r2 + r3 on the given augmented matrix. 9 -4 1 -7 2 -7 5 -7 -4 1 2 6 - 4x +y+ 2z = 6w - 4x + y+2z +6 = 0 Perform the row operations R, = - 4r, +r, and R3 = 2r, +r3 on the original matrix given in the problem statement, and enter the resulting matrix below.
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