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System (a) 2x₁ + 6x3 + x4 = 5 2x1 + 2x2 +8x3 − 3x4 = −3 - -3x1 + x2 - 8x32x4 = -7 x₁ + 3x3 2x4 = -5

System (a) 2x₁ + 6x3 + x4 = 5 2x1 + 2x2 +8x3 − 3x4 = −3 - -3x1 + x2 - 8x32x4 = -7 x₁ + 3x3 2x4 = -5

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve the following systems using row reduction. As you do row reduction, indicate when the matrix is in REF and when it is in RREF. System (a) System (b) 2x₁ + 6x3 + x₁ = 5 2x1 + 2x2 +8x3 - 3x4= -3 -3x1 + x2 - 8x3 - 2x4 = -7 x₁ + 3x3 2x4 = -5 3x₂ + x3 3x1x2 + x3 - x4 = 10 3x4 = 8 2x1x2x3 + x4= = 4 3x1x₂ 3x3 2x2 = 1 - - - System (c) 1 x₂ = 2 - x₂ + x₁ = 0 X₁ + X2 X3 + 4 = 1 2x1x2x3 = 4 -
Transcribed Image Text:Solve the following systems using row reduction. As you do row reduction, indicate when the matrix is in REF and when it is in RREF. System (a) System (b) 2x₁ + 6x3 + x₁ = 5 2x1 + 2x2 +8x3 - 3x4= -3 -3x1 + x2 - 8x3 - 2x4 = -7 x₁ + 3x3 2x4 = -5 3x₂ + x3 3x1x2 + x3 - x4 = 10 3x4 = 8 2x1x2x3 + x4= = 4 3x1x₂ 3x3 2x2 = 1 - - - System (c) 1 x₂ = 2 - x₂ + x₁ = 0 X₁ + X2 X3 + 4 = 1 2x1x2x3 = 4 -
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