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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) x1 + 2x2 + 3x3 = 0 2x2 + 2x3 x4 = 0 x1x22x4= = 5 2x1 + x2 + 3x3 2x4 = 8 - System (b) x1 + x3 + 3x4 = 4 -x2 + 2x3 +9x4 = 0 -3x1 + x2 + x3 + 12x4 = −6 x2 + 2x3 + 11x4 = 4 System (c) x1 + 2x2x3x4=2 -3x1 3x2 + 3x4 = -9 x₂ + x3 + x4 = -3 x1 + x2 + x3 + x4 = -2

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) x1 + 2x2 + 3x3 = 0 2x2 + 2x3 x4 = 0 x1x22x4= = 5 2x1 + x2 + 3x3 2x4 = 8 - System (b) x1 + x3 + 3x4 = 4 -x2 + 2x3 +9x4 = 0 -3x1 + x2 + x3 + 12x4 = −6 x2 + 2x3 + 11x4 = 4 System (c) x1 + 2x2x3x4=2 -3x1 3x2 + 3x4 = -9 x₂ + x3 + x4 = -3 x1 + x2 + x3 + x4 = -2

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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4. 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) x1 + 2x2 + 3x3 = 0 2x2 + 2x3 x4 = 0 x1 - x2 − 2x4 2x4 = 5 2x48 2x1 + x2 + 3x3 - System (b) x1 + x3 + 3x₁ = 4 -x₂ + 2x3 +9x4 = 0 -3x1 + x₂ + x3 + 12x4 = −6 x2 + 2x3 + 11x4 = 4 System (c) - X3 X4 -2 x1 + 2x₂ -3x1 - 3x2 + 3x4 = -9 x2 + x3 + x4 = -3 - - x1 + x₂ + x3 + x4 = 2 -
Transcribed Image Text:4. 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) x1 + 2x2 + 3x3 = 0 2x2 + 2x3 x4 = 0 x1 - x2 − 2x4 2x4 = 5 2x48 2x1 + x2 + 3x3 - System (b) x1 + x3 + 3x₁ = 4 -x₂ + 2x3 +9x4 = 0 -3x1 + x₂ + x3 + 12x4 = −6 x2 + 2x3 + 11x4 = 4 System (c) - X3 X4 -2 x1 + 2x₂ -3x1 - 3x2 + 3x4 = -9 x2 + x3 + x4 = -3 - - x1 + x₂ + x3 + x4 = 2 -
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