Use Gauss-Jordan row reduction to solve the given systems of equation. (5%) 2r + 3y = 2 3y 2 2

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Problem Sets: 47%
1. Use Gauss-Jordan row reduction to solve the given systems of equation. (5%)
2x + 3y = 2
Зу
-X -
2
%3D
2. Use Gauss-Jordan row reduction to solve the given systems of equation. (10%)
x + y + 5z
= 1
y + 27 +
1
x + 3y + 7z + 2w = 2
x + y + 5z + w = 1
3. All book orders received at the Order Department (OD) at OHaganBooks.com are
transmitted through a small computer network to the Shipping Department (SD).
The following diagram shows the network (which uses two intermediate
computers as routers), together with some of the average daily traffic measured in
book orders:
500
Router
OD
100,
200
12
SD
500
Router
1
2.
||
Transcribed Image Text:Problem Sets: 47% 1. Use Gauss-Jordan row reduction to solve the given systems of equation. (5%) 2x + 3y = 2 Зу -X - 2 %3D 2. Use Gauss-Jordan row reduction to solve the given systems of equation. (10%) x + y + 5z = 1 y + 27 + 1 x + 3y + 7z + 2w = 2 x + y + 5z + w = 1 3. All book orders received at the Order Department (OD) at OHaganBooks.com are transmitted through a small computer network to the Shipping Department (SD). The following diagram shows the network (which uses two intermediate computers as routers), together with some of the average daily traffic measured in book orders: 500 Router OD 100, 200 12 SD 500 Router 1 2. ||
transmitted through a small computer network to the Shipping Department (SD).
The following diagram shows the network (which uses two intermediate
computers as routers), together with some of the average daily traffic measured in
book orders:
500
Router
OD
100
200
SD
500
Router
1
a. Set up a system of linear equations in which the unknowns give the average traffic
along the paths labeled x, y, z, w, and find the general solution. (20%)
b. What is the minimum volume of traffic along y? (3%)
c. What is the maximum volume of traffic along w? (3%)
d. If there is no traffc along z, find the volume of traffic along all the paths. (3%)
e. If there is the same volume of traffic along y and z, what is the volume of traffic
along w? (3%)
Transcribed Image Text:transmitted through a small computer network to the Shipping Department (SD). The following diagram shows the network (which uses two intermediate computers as routers), together with some of the average daily traffic measured in book orders: 500 Router OD 100 200 SD 500 Router 1 a. Set up a system of linear equations in which the unknowns give the average traffic along the paths labeled x, y, z, w, and find the general solution. (20%) b. What is the minimum volume of traffic along y? (3%) c. What is the maximum volume of traffic along w? (3%) d. If there is no traffc along z, find the volume of traffic along all the paths. (3%) e. If there is the same volume of traffic along y and z, what is the volume of traffic along w? (3%)
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