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 System of Equations 2x1 + x29x3 + 4 = −cos (n) 2x2 = 6²x₂ + 7x1 x₁ - x2 + 7x3 = √5 In x₁ - xa (sin x₂) = 3 cos x₂ + x2x3 = 2 0 L7 4.21 -111 7H-0 15 X₁X2 + X1X3 - 4x1x₂ = 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
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 System of Equations 2x1 + x29x3 + 4 = −cos (n) 2x2 = 6²x₂ + 7x1 x₁ - x2 + 7x3 = √5 In x₁ - xa (sin x₂) = 3 cos x₂ + x2x3 = 2 0 L7 4.21 -111 7H-0 15 X₁X2 + X1X3 - 4x1x₂ = 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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fca6b5de9-d666-4be4-bec5-372f49facd74%2Fb1b46273-8de3-4d71-b707-5fa33e6200c7%2Flg4nzic_processed.png&w=3840&q=75)
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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