Give linear algebra solution The accompanying figure shows a network of one-way streetswith traffic flowing in the directions indicated. The flow ratesalong the streets are measured as the average number of vehi-cles per hour.(a) Set up a linear system whose solution provides the un-known flow rates.(b) Solve the system for the unknown flow rates.(c) If the flow along the road from A to B must be reduced forconstruction, what is the minimum flow that is required tokeep traffic flowing on all roads?400| 750300X3250AX4400В200100T300Figure Ex-3

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Description: Give linear algebra solution The accompanying figure shows a network of one-way streetswith traffic flowing in the directions indicated. The flow ratesalong the streets are measured as the average number of vehi-cles per hour.(a) Set up a linear syst

The given figure is, (a) Here at A, At B, At C, At D, So the linear system of equations are,…

Answered: The accompanying figure shows a network…

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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Give linear algebra solution

The accompanying figure shows a network of one-way streets
with traffic flowing in the directions indicated. The flow rates
along the streets are measured as the average number of vehi-
cles per hour.
(a) Set up a linear system whose solution provides the un-
known flow rates.
(b) Solve the system for the unknown flow rates.
(c) If the flow along the road from A to B must be reduced for
construction, what is the minimum flow that is required to
keep traffic flowing on all roads?
400
| 750
300
X3
250
A
X4
400
В
200
100T
300
Figure Ex-3

Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.

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