A system of linear equations with more equations than unknowns is sometimes called an overdetermined system. Can such a syste be consistent? Illustrate your answer with a specific system of three equations in two unknowns. Choose the correct answer below. O A. Yes, overdetermined systems can be consistent. For example, the system of equations below is consistent because it has the solution (Type an ordered pair.) x₁ = 2, x₂ = 4, X₁ +X₂ = 8 O C. No, overdetermined systems cannot be consistent because there are no free variables. For example, the system of equations below has no solution. x₁ = 2, x₂ = 4, x₁ +X₂ = 24 O B. Yes, overdetermined systems can be consistent. For example, the system of equations below is consistent because it has the solution (Type an ordered pair.) x₁ = 2, x₂ = 4, x₁ +X₂ = 6 OD. No, overdetermined systems cannot be consistent becaus there are fewer free variables than equations. For exampl the system of equations below has no solution. x₁ = 2, x₂ = 4, X₁ + X₂ = 12
A system of linear equations with more equations than unknowns is sometimes called an overdetermined system. Can such a syste be consistent? Illustrate your answer with a specific system of three equations in two unknowns. Choose the correct answer below. O A. Yes, overdetermined systems can be consistent. For example, the system of equations below is consistent because it has the solution (Type an ordered pair.) x₁ = 2, x₂ = 4, X₁ +X₂ = 8 O C. No, overdetermined systems cannot be consistent because there are no free variables. For example, the system of equations below has no solution. x₁ = 2, x₂ = 4, x₁ +X₂ = 24 O B. Yes, overdetermined systems can be consistent. For example, the system of equations below is consistent because it has the solution (Type an ordered pair.) x₁ = 2, x₂ = 4, x₁ +X₂ = 6 OD. No, overdetermined systems cannot be consistent becaus there are fewer free variables than equations. For exampl the system of equations below has no solution. x₁ = 2, x₂ = 4, X₁ + X₂ = 12
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.1: Systems Of Linear Equations
Problem 101E
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