Determine whether the following matrices are in reduced echelon form. If a matrix is not in reduced echelon form give a reason. (a) (c) (e) (i) 1 0 1 1 2 5 6 0 1 3-7 0 1 0 0 1 0 0 1 0 0 1 0 0 2 3 1 0 0 0 1 0 1 0 1 0 4 5 69 9 3 0 6 0 0 1 (b) (d) 1 2 0 0 1 (h) 20 1 (f) 0 0 1 4 0 40 4 7 0 5 2 9 5 0 0 0 0 1 0 0 0 2 0 0 0 1 2 3 2 6 1 3

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.4: Determinants
Problem 54PS
icon
Related questions
Question
Determine whether the following matrices are in reduced
echelon form. If a matrix is not in reduced echelon form
give a reason.
(a)
(c)
1 0
1
(i)
1
(e) 0
0
1 2 5
0
1
0
0
1
0
2
3
0 0
1
0
0
1
0
1
0
0
1
0 0
1 3-7
0
1
6
0 4
36
PI
6
0
45
9
0
0
1
(b)
(d)
1
0
1
0
2 0
0
1
1
(h) 0
0
1
5 0
(f) 0 0 1
0
0
0
4
7
4 0 5
0 2 9
0 0 3
2
2 0
6
1
01
2 3
Transcribed Image Text:Determine whether the following matrices are in reduced echelon form. If a matrix is not in reduced echelon form give a reason. (a) (c) 1 0 1 (i) 1 (e) 0 0 1 2 5 0 1 0 0 1 0 2 3 0 0 1 0 0 1 0 1 0 0 1 0 0 1 3-7 0 1 6 0 4 36 PI 6 0 45 9 0 0 1 (b) (d) 1 0 1 0 2 0 0 1 1 (h) 0 0 1 5 0 (f) 0 0 1 0 0 0 4 7 4 0 5 0 2 9 0 0 3 2 2 0 6 1 01 2 3
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning