1. In each part of this question, you have been given a system of equations and the corresponding matrix taken to RREF. Write the general solution as a vector equation. • List the basic solutions. a. ● b. (x₁ - x₂ + 2x4 = 0 -x₁ + x₂ + 3x3 - 11x4 2x₁ - 2x₂ + 4x4 0 0 (-4x₁ + 4x₂ + 3x3 - 17x4 = 0 Lo - = 0 " [1 0 -1 0 2 01 0 1 -3 0 0 0 0 0 0 0 0 (3w+9y15z = 0 1 0 3 -14w + 33x - 75y - 62z = 0 0 1 -1 -4 -5w+ 14x29y - 31z = 0 0 0 (52w 164x + 320y + 396z = 0 Lo 0 0 0
1. In each part of this question, you have been given a system of equations and the corresponding matrix taken to RREF. Write the general solution as a vector equation. • List the basic solutions. a. ● b. (x₁ - x₂ + 2x4 = 0 -x₁ + x₂ + 3x3 - 11x4 2x₁ - 2x₂ + 4x4 0 0 (-4x₁ + 4x₂ + 3x3 - 17x4 = 0 Lo - = 0 " [1 0 -1 0 2 01 0 1 -3 0 0 0 0 0 0 0 0 (3w+9y15z = 0 1 0 3 -14w + 33x - 75y - 62z = 0 0 1 -1 -4 -5w+ 14x29y - 31z = 0 0 0 (52w 164x + 320y + 396z = 0 Lo 0 0 0
Chapter4: Systems Of Linear Equations
Section4.5: Solve Systems Of Equations Using Matrices
Problem 202E: Write the system of equations that that corresponds to the augmented matrix. 202. [103120012| 1 23]
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