Solve using Gauss-Jordan elimination. 4x₁7x25x3 = 36 X₁ - 3x₂ = 14 Write the system of equations as an augmented matrix. 4 - 7 - 5 36 1 - 3 0 14 Solve the system. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. ₁×₂= and x3 = A. The unique solution is x₁ = (Simplify your answers.) = = x₂ = and x3 = t. B. The system has infinitely many solutions. The solution is X₁ (Simplify your answers. Type expressions using t as the variable.) O C. The system has infinitely many solutions. The solution is x₁ = ₁ X₂ = S, and x3 = t. (Simplify your answer. Type an expression using s and t as the variables.) D. There is no solution. 3
Solve using Gauss-Jordan elimination. 4x₁7x25x3 = 36 X₁ - 3x₂ = 14 Write the system of equations as an augmented matrix. 4 - 7 - 5 36 1 - 3 0 14 Solve the system. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. ₁×₂= and x3 = A. The unique solution is x₁ = (Simplify your answers.) = = x₂ = and x3 = t. B. The system has infinitely many solutions. The solution is X₁ (Simplify your answers. Type expressions using t as the variable.) O C. The system has infinitely many solutions. The solution is x₁ = ₁ X₂ = S, and x3 = t. (Simplify your answer. Type an expression using s and t as the variables.) D. There is no solution. 3
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 68E
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