(a) The currents, i1, iz and i3 in a simple electrical circuit are given by the following equations from the Kirchhoff current law: 5i1+5i2+5i3 = 7.0 i1 + 2i2+ 4i3 = 2.0 411, + 2i2 4.0 Write the system in the form AI = b then convert the matrix Ab to its reduced echelon form using elementary row operations and hence determine i1, i2, and i3.
(a) The currents, i1, iz and i3 in a simple electrical circuit are given by the following equations from the Kirchhoff current law: 5i1+5i2+5i3 = 7.0 i1 + 2i2+ 4i3 = 2.0 411, + 2i2 4.0 Write the system in the form AI = b then convert the matrix Ab to its reduced echelon form using elementary row operations and hence determine i1, i2, and i3.
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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![QUESTION 3
(a) The currents, i₁, i2 and i3 in a simple electrical circuit are given by the following equations from the Kirchhoff
current law:
5i1+5i2+5i3 = 7.0
i1 + 2i2 + 4i3 = 2.0
411, +2i24.0
Write the system in the form AI = b then convert the matrix Ab to its reduced echelon form using elementary
row operations and hence determine i1, i2, and i3.
(b) Find the first set of eigen vectors corresponding to eigen values for the matrix
A = [-²5 27²]
where (A - λ1)X = 0 and I, O have their usual meanings.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc69531de-06fb-42c2-ad4d-5a20f1019180%2Fcb9997af-5994-4b8d-a46a-f299c9f8f78a%2Fpf3l7y_processed.jpeg&w=3840&q=75)
Transcribed Image Text:QUESTION 3
(a) The currents, i₁, i2 and i3 in a simple electrical circuit are given by the following equations from the Kirchhoff
current law:
5i1+5i2+5i3 = 7.0
i1 + 2i2 + 4i3 = 2.0
411, +2i24.0
Write the system in the form AI = b then convert the matrix Ab to its reduced echelon form using elementary
row operations and hence determine i1, i2, and i3.
(b) Find the first set of eigen vectors corresponding to eigen values for the matrix
A = [-²5 27²]
where (A - λ1)X = 0 and I, O have their usual meanings.
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