Calculate the matrix of cofactors for the coefficient matrix A = matrix of cofactors= ab sin (a) f əx 8 α Ω 29 -11 0 -11 0 22 -11 -11 11

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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Test.Questionsheet
A circuit is built with three batteries (B₁, B2 and B3) and three resistors (R₁, R₂ and Rg), as shown in the following diagram.
R₁
B₂.
B1
Resistor
R1
R₂
R3
These components are chosen as follows.
Battery Voltage (in volts)
B₁
B2
B3
6
6
21
6
B3
18
Resistance (in ohms)
11
11
R₂
22
R3
The currents (i1, 12 and 13) in the three loops of the circuit satisfy the system of equations
Transcribed Image Text:Test.Questionsheet A circuit is built with three batteries (B₁, B2 and B3) and three resistors (R₁, R₂ and Rg), as shown in the following diagram. R₁ B₂. B1 Resistor R1 R₂ R3 These components are chosen as follows. Battery Voltage (in volts) B₁ B2 B3 6 6 21 6 B3 18 Resistance (in ohms) 11 11 R₂ 22 R3 The currents (i1, 12 and 13) in the three loops of the circuit satisfy the system of equations
Rearranging this gives the matrix equation
a.
matrix of cofactors=
Calculate the matrix of cofactors for the coefficient matrix A =
a
sin (a)
ə
əx
6 = 18i1 +11(1 – 2),
6=11(i2-ig) +11(i2 - 11),
6-6=11(i3-i2).
f
29
-11
0
-11 22 -11
0 -11
11
∞
α Ω
²1
22
23
Show/hide
29
-11
0
6
-11
0
22 -11
11
-11
E
Transcribed Image Text:Rearranging this gives the matrix equation a. matrix of cofactors= Calculate the matrix of cofactors for the coefficient matrix A = a sin (a) ə əx 6 = 18i1 +11(1 – 2), 6=11(i2-ig) +11(i2 - 11), 6-6=11(i3-i2). f 29 -11 0 -11 22 -11 0 -11 11 ∞ α Ω ²1 22 23 Show/hide 29 -11 0 6 -11 0 22 -11 11 -11 E
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