or use elementary row operations to ransform it to echelon form. If the matrix is in echelon form, transform it o reduced echelon form. 2.12 }] [!] 014 321 142 011 *[89] *[88] 00 2-1-2 02-2-3 0 0 1 -1 4-3 4 6 021-3-3 00012 2-1 01 0 0-3 ises 11-21, each of the given matrices represents mented matrix for a system of linear equations. 13. 1 15. 17. 19. 0 13 1 21. 1110 0100 0001 1001 0101 0001 10100 18. 00110 00010 14. [1 22. 2x₁3x₂ = 5 -4x₁ + 6x₂ = -10 12 1 0100 16. 1201 01 10 20. 112020 011100 001212 213201 001121 000030 In Exercises 22-35, solve the system by transforming the augmented matrix to reduced echelon form. 0020 1213 0002 0000
or use elementary row operations to ransform it to echelon form. If the matrix is in echelon form, transform it o reduced echelon form. 2.12 }] [!] 014 321 142 011 *[89] *[88] 00 2-1-2 02-2-3 0 0 1 -1 4-3 4 6 021-3-3 00012 2-1 01 0 0-3 ises 11-21, each of the given matrices represents mented matrix for a system of linear equations. 13. 1 15. 17. 19. 0 13 1 21. 1110 0100 0001 1001 0101 0001 10100 18. 00110 00010 14. [1 22. 2x₁3x₂ = 5 -4x₁ + 6x₂ = -10 12 1 0100 16. 1201 01 10 20. 112020 011100 001212 213201 001121 000030 In Exercises 22-35, solve the system by transforming the augmented matrix to reduced echelon form. 0020 1213 0002 0000
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.4: Orthogonal Diagonalization Of Symmetric Matrices
Problem 27EQ
Related questions
Question
Please just 15 18 and 21
![1.2
EXERCISES
Consider the matrices in Exercises 1-10.
a) Either state that the matrix is in echelon form
or use elementary row operations to
transform it to echelon form.
b) If the matrix is in echelon form, transform it
to reduced echelon form.
1. 12
2.1 2-1
0 1 3
[83]
*[388]
41
0023
2014
3.
[
5.
7.
9.
10.
1
1
w
0142
001 1
21
[
7
77
02-2-3
0 0 0 1
-1 4-3 4 6
01
*[83]
2
021-3-3
00012
8.
31
0012
2-1
0
0
0-3
In Exercises 11-21, each of the given matrices represents
the augmented matrix for a system of linear equations.
In each exercise, display the solution set or state that the
system is inconsistent.
11. 1 10
0 10
13.
15.
17.
1 210
0131
1110
0100
0001
19.100 1
20.
0101
0001
112020
011100
001212
21. 213201
001121
000030
10100 18.
0011
00010
12.
22. 2x₁3x₂ = 5
-4x₁ + 6x₂ = -10
14.
23. x₁2x₂ = 3
2x₁ - 4x₂ = 1
16.
002
1221
01 00
1201
01 10
In Exercises 22-35, solve the system by transforming
the augmented matrix to reduced echelon form.
0020
1213
0002
0000](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff9f09358-2457-4574-8a58-54f66298796a%2Fd4f0c2fa-edc4-440c-a69a-b6e33d89a5a3%2Fkcz41rc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1.2
EXERCISES
Consider the matrices in Exercises 1-10.
a) Either state that the matrix is in echelon form
or use elementary row operations to
transform it to echelon form.
b) If the matrix is in echelon form, transform it
to reduced echelon form.
1. 12
2.1 2-1
0 1 3
[83]
*[388]
41
0023
2014
3.
[
5.
7.
9.
10.
1
1
w
0142
001 1
21
[
7
77
02-2-3
0 0 0 1
-1 4-3 4 6
01
*[83]
2
021-3-3
00012
8.
31
0012
2-1
0
0
0-3
In Exercises 11-21, each of the given matrices represents
the augmented matrix for a system of linear equations.
In each exercise, display the solution set or state that the
system is inconsistent.
11. 1 10
0 10
13.
15.
17.
1 210
0131
1110
0100
0001
19.100 1
20.
0101
0001
112020
011100
001212
21. 213201
001121
000030
10100 18.
0011
00010
12.
22. 2x₁3x₂ = 5
-4x₁ + 6x₂ = -10
14.
23. x₁2x₂ = 3
2x₁ - 4x₂ = 1
16.
002
1221
01 00
1201
01 10
In Exercises 22-35, solve the system by transforming
the augmented matrix to reduced echelon form.
0020
1213
0002
0000
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