RREF Solutions My Solutions > A given system of linear equations Ax = b can be solved using Gaussian elimination. For the following A's and b's, perform as indicated: Problem 1: 1 2 A1 =4 2 8 \2 4 4 xv1= b1 = Problem 2: 2 1 2 2 3 3 0 4 A2 = x2 Xv2= b=5 0 3 5 3 o 2 1 -4 Script e H Save C Reset I MATLAB Documentation 1 %Encode A1, b1 and x1 as the vector of unknowns. A1 = 3 b1 = 4 syms 5 xv1 - 6 | 7 %Check the size of A, set it as m1 and n1 8 [m1, n1] = 9 10 %Augment A and b to form AM1 11 AM1 - 12 13 %Solve the Reduced Rwo Echelon of AM1. 14 RREFA1 = 15 16 %Collect the last column and set as bnew1, set the remaining elements as Anew1 17 bnew1= 18 Anew1 = 19
RREF Solutions My Solutions > A given system of linear equations Ax = b can be solved using Gaussian elimination. For the following A's and b's, perform as indicated: Problem 1: 1 2 A1 =4 2 8 \2 4 4 xv1= b1 = Problem 2: 2 1 2 2 3 3 0 4 A2 = x2 Xv2= b=5 0 3 5 3 o 2 1 -4 Script e H Save C Reset I MATLAB Documentation 1 %Encode A1, b1 and x1 as the vector of unknowns. A1 = 3 b1 = 4 syms 5 xv1 - 6 | 7 %Check the size of A, set it as m1 and n1 8 [m1, n1] = 9 10 %Augment A and b to form AM1 11 AM1 - 12 13 %Solve the Reduced Rwo Echelon of AM1. 14 RREFA1 = 15 16 %Collect the last column and set as bnew1, set the remaining elements as Anew1 17 bnew1= 18 Anew1 = 19
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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![RREF Solutions
My Solutions >
A given system of linear equations Ax = b can be solved using Gaussian elimination. For the following A's and b's, perform as indicated:
Problem 1:
(3 1 2
A1 = 4 2 8 xv1= (y
2 4 4.
b1 =1
Problem 2:
12
1
2 4
(x1
2 3
0 3 5
0 2 1
3 0
x2
Xv2=
x3
A2 =
b3D
3
-4.
x4
4
Script e
H Save
C Reset
I MATLAB Documentation
1 %Encode A1, b1 and x1 as the vector of unknowns.
2 A1 =
3 b1 =
4 syms
5 xv1 =
7 %Check the size of A, set it as m1 and n1
8 [m1,n1] =
9
10 %Augment A and b to form AM1
11 AM1 =
12
13 %Solve the Reduced Rwo Echelon of AM1.
14 RREFA1 =
15
16 %Collect the last column and set as bnewl, set the remaining elements as Anewl
17 bnew1=
18 Anew1 =
19
20 %Check if Anew is an identity matrix, if it is, bnew is the solution
21 if Anew1 =eye(ml, n1)
22
Root1 = bnew1
23 else
display ("No Solution")
24
25 end
26](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fabfe03f4-b890-44cc-9761-4c9583c3700d%2F4e0e9a64-fc27-4fa1-b293-b8cd67bf6177%2Fe1h0elo_processed.png&w=3840&q=75)
Transcribed Image Text:RREF Solutions
My Solutions >
A given system of linear equations Ax = b can be solved using Gaussian elimination. For the following A's and b's, perform as indicated:
Problem 1:
(3 1 2
A1 = 4 2 8 xv1= (y
2 4 4.
b1 =1
Problem 2:
12
1
2 4
(x1
2 3
0 3 5
0 2 1
3 0
x2
Xv2=
x3
A2 =
b3D
3
-4.
x4
4
Script e
H Save
C Reset
I MATLAB Documentation
1 %Encode A1, b1 and x1 as the vector of unknowns.
2 A1 =
3 b1 =
4 syms
5 xv1 =
7 %Check the size of A, set it as m1 and n1
8 [m1,n1] =
9
10 %Augment A and b to form AM1
11 AM1 =
12
13 %Solve the Reduced Rwo Echelon of AM1.
14 RREFA1 =
15
16 %Collect the last column and set as bnewl, set the remaining elements as Anewl
17 bnew1=
18 Anew1 =
19
20 %Check if Anew is an identity matrix, if it is, bnew is the solution
21 if Anew1 =eye(ml, n1)
22
Root1 = bnew1
23 else
display ("No Solution")
24
25 end
26
![25 end
26
27 %Augment the matrix A1 with the identity Matrix of the same size, set the result as AMI1
28 AMI1 =
%Find the reduced row echelon form of AMI1, set the result as RREFAI1
30 RREFAI1=
31 %Collect the second half of the matrix as AInew1, set the remaining elements as AIold1
32 AInewl=
33 AIold1 =
34
35 %Check if AIold1 is an identity matrix, if it is, AInewl is the inverse
36
37
38 %Encode A2, b2 and xv2 as the vector of unknowns.
39 A2 =
40 b2 =
41 syms
42 xv2 =
43
44 %Check the size of A2, set it as m2 and n2
45 [m2, n2] =
46
47 %Augment A2 and b2 to form AM2
48 AM2 =
49
5e XSolve the Reduced Rwo Echelon of AM2.
51 RREFA2 =
52
53 XCollect the last column and set as bnew2, set the remaining elements as Anew2
54 bnew2=
55 Anew2 =
56
57 %Check if Anew is an identity matrix, if it is, bnew2 is the solution
58 if Anewl =eye(m2, n2)
59
Root2 = bnew2
60 else
display ("No Solution")
61
62 end
63
64 %Augment the matrix A2 with the identity Matrix of the same size, set the result as AMI2
65 AMI2 =
66 %Find the reduced row echelon form of AMI2, set the result as RREFAI2
67 RREFAI2=
68 %Collect the second half of the matrix as AInew2, set the remaining elements as AIold2
69 AInew2D
70 AIold2 =
71
72 XCheck if AIold2 is an identity matrix, if it is, AInew2 is the inverse
73
74](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fabfe03f4-b890-44cc-9761-4c9583c3700d%2F4e0e9a64-fc27-4fa1-b293-b8cd67bf6177%2Fi05t9tq_processed.png&w=3840&q=75)
Transcribed Image Text:25 end
26
27 %Augment the matrix A1 with the identity Matrix of the same size, set the result as AMI1
28 AMI1 =
%Find the reduced row echelon form of AMI1, set the result as RREFAI1
30 RREFAI1=
31 %Collect the second half of the matrix as AInew1, set the remaining elements as AIold1
32 AInewl=
33 AIold1 =
34
35 %Check if AIold1 is an identity matrix, if it is, AInewl is the inverse
36
37
38 %Encode A2, b2 and xv2 as the vector of unknowns.
39 A2 =
40 b2 =
41 syms
42 xv2 =
43
44 %Check the size of A2, set it as m2 and n2
45 [m2, n2] =
46
47 %Augment A2 and b2 to form AM2
48 AM2 =
49
5e XSolve the Reduced Rwo Echelon of AM2.
51 RREFA2 =
52
53 XCollect the last column and set as bnew2, set the remaining elements as Anew2
54 bnew2=
55 Anew2 =
56
57 %Check if Anew is an identity matrix, if it is, bnew2 is the solution
58 if Anewl =eye(m2, n2)
59
Root2 = bnew2
60 else
display ("No Solution")
61
62 end
63
64 %Augment the matrix A2 with the identity Matrix of the same size, set the result as AMI2
65 AMI2 =
66 %Find the reduced row echelon form of AMI2, set the result as RREFAI2
67 RREFAI2=
68 %Collect the second half of the matrix as AInew2, set the remaining elements as AIold2
69 AInew2D
70 AIold2 =
71
72 XCheck if AIold2 is an identity matrix, if it is, AInew2 is the inverse
73
74
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