5.2 Simultaneous Equations II Write the following sets of simultaneous equations in matrix form, and check the determinant to see whether there is a solution: 0x₁ + 7x₂ + 1x3 = 3, 3x₁ + 6x₂ + 3x3 = 8, a. - 3x₁ + 8x₂ - 1x3 = 2. 1x₁ + 8x₂ + 4x3 = 0, b. - 1x₁ + 1x₂ + 7x3 = 7, 6x₁ + 7x₂ - 2x3 = 3. 6x₁ +5x₂1x3 + 6x4 = 0, - 2x1 + 2x₂ + 2x3 + 2x4 = 1, 1x₁ - 1x₂ + 1x3 - 2x4 = 1, 7x₁3x₂ +8x3 + 4x4 = 4. If a solution exists, solve the equations using matrix methods. C.
5.2 Simultaneous Equations II Write the following sets of simultaneous equations in matrix form, and check the determinant to see whether there is a solution: 0x₁ + 7x₂ + 1x3 = 3, 3x₁ + 6x₂ + 3x3 = 8, a. - 3x₁ + 8x₂ - 1x3 = 2. 1x₁ + 8x₂ + 4x3 = 0, b. - 1x₁ + 1x₂ + 7x3 = 7, 6x₁ + 7x₂ - 2x3 = 3. 6x₁ +5x₂1x3 + 6x4 = 0, - 2x1 + 2x₂ + 2x3 + 2x4 = 1, 1x₁ - 1x₂ + 1x3 - 2x4 = 1, 7x₁3x₂ +8x3 + 4x4 = 4. If a solution exists, solve the equations using matrix methods. C.
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
Can you help me solve 5.2 and 5.3 please and show me the steps in excel and formulas
Transcribed Image Text:Chapter 5
Matrix Operations in Excel
ng 5.1
4 3
8
3 2 8
If the solution exists, solve the equations by using matrix methods.
c. C= 3
7
3-0
4
5.2 Simultaneous Equations II
Write the following sets of simultaneous equations in matrix form, and check the
determinant to see whether there is a solution:
0x₁ + 7x₂ + 1x3 = 3,
3x₁ + 6x₂ + 3x3 = 8,
- 3x1 + 8x₂ - 1x3 = 2.
1x₁ + 8x₂ + 4x3 = 0,
b. - 1x₁ + 1x₂ + 7x₂ = 7,
6x₁ + 7x22x3 = 3.
a.
6x₁ +5x₂1x3 + 6x4 = 0,
- 2x1 + 2x₂ + 2x3 + 2x4 = 1,
1x₁ - 1x₂ + 1x3 - 2x4 = 1,
7x₁3x₂ + 8x3 + 4x4 = 4.
If a solution exists, solve the equations using matrix methods.
C.
5.3 Simultaneous Equations III
Write the following sets of simultaneous equations in matrix form and solve the new
equations (if possible):
3x₁ + 1x₂ + 5x3 = 20,
a. 2x₁ + 3x21x3 = 5,
- 1x₁ + 4x₂ = 7.
6x₁ + 2x2 + 8x3 = 14,
b. x₁ + 3x₂ + 4x3 = 5,
5x₁ + 6x₂ + 2x3 = 7.
4y₁ + 2y2 + y3 + 5y4 = 52.9,
3y₁ + y2 + 4y3 + 7y₁ = 74.2,
C.
2y₁ +3y2 +93 +6y₁4 = 58.3,
3y₁ +92 +93 + 3y4 = 34.2.
5.4 Multiloop Circuits II
Find the currents i, through is in l
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