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. - 2 - 4 1 0 - 1 - 1 What equation does the first row represent? (Type an equation.) What equation does the second row represent? (Type an equation.) What equation does the third row represent? (Type an equation.) Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. Select the correct choice below and, if necessary, fill in the answer box(es) within your choice. A. The system is consistent. The solution is ( ! ). (Simplify your answers.) B. There are infinitely many solutions. The solution can be written as {(x,y,z)|x= , y = (Simplify your answers. Type expressions using z as the variable.) 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.) D. The system is inconsistent. z is any real number}. y is any real number, z is any real number}.
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. - 2 - 4 1 0 - 1 - 1 What equation does the first row represent? (Type an equation.) What equation does the second row represent? (Type an equation.) What equation does the third row represent? (Type an equation.) Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. Select the correct choice below and, if necessary, fill in the answer box(es) within your choice. A. The system is consistent. The solution is ( ! ). (Simplify your answers.) B. There are infinitely many solutions. The solution can be written as {(x,y,z)|x= , y = (Simplify your answers. Type expressions using z as the variable.) 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.) D. The system is inconsistent. z is any real number}. y is any real number, z is any real number}.
Chapter7: Matrices And Determinants
Section7.3: The Inverse Of A Square Matrix
Problem 65E: Floral Design: A florist is creating 10 centerpieces. Roses cost $2.50 each, lilies cost $4 each,...
Related questions
Question
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.
- 2
- 4
1 0
- 1
- 1
What equation does the first row represent?
(Type an equation.)
What equation does the second row represent?
(Type an equation.)
What equation does the third row represent?
(Type an equation.)
Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. Select the correct choice below and, if necessary, fill in the answer box(es) within your choice.
A. The system is consistent. The solution is ( ! ).
(Simplify your answers.)
B. There are infinitely many solutions. The solution can be written as {(x,y,z)|x= , y =
(Simplify your answers. Type expressions using z as the variable.)
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.)
D. The system is inconsistent.
z is any real number}.
y is any real number, z is any real number}.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning