Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
2. For each system of equations below, identify (a) whether the system is linear, bilinear, or nonlinear; (b) the
degrees of freedom (DOF); and (c) whether the system is overspecified, underspecified, or square (complete
the table directly).
1
2
3
4
System of Equations
2x1 + x29x3 + 4 = −cos (π)
2x2 = 6²x₂ + 7x1
X₁ X₂ + 7x3 = √5
r1
7
In x₁ - x₂ (sin x₂) = 3
Cos x₂ + x2x3 = 2
0
4.21 15
-111
[x₂]
= [5]
X1X2 + x1x34x1x₂ = 4
X₁ + X2X3 = X2
System Type:
Linear
Bi-Linear
Non-Linear
Linear
Bi-Linear
Non-Linear
☐ Linear
Bi-Linear
Non-Linear
Linear
Bi-Linear
Non-Linear
DOF:
Squareness:
Square
Underspecified
□ Overspecified
Square
Underspecified
Overspecified
□ Square
Underspecified
□ Overspecified
Square
Underspecified
□ Overspecified
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Transcribed Image Text:2. For each system of equations below, identify (a) whether the system is linear, bilinear, or nonlinear; (b) the degrees of freedom (DOF); and (c) whether the system is overspecified, underspecified, or square (complete the table directly). 1 2 3 4 System of Equations 2x1 + x29x3 + 4 = −cos (π) 2x2 = 6²x₂ + 7x1 X₁ X₂ + 7x3 = √5 r1 7 In x₁ - x₂ (sin x₂) = 3 Cos x₂ + x2x3 = 2 0 4.21 15 -111 [x₂] = [5] X1X2 + x1x34x1x₂ = 4 X₁ + X2X3 = X2 System Type: Linear Bi-Linear Non-Linear Linear Bi-Linear Non-Linear ☐ Linear Bi-Linear Non-Linear Linear Bi-Linear Non-Linear DOF: Squareness: Square Underspecified □ Overspecified Square Underspecified Overspecified □ Square Underspecified □ Overspecified Square Underspecified □ Overspecified
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