If 2³, 24, 24, 3, 33,33,52,55,7,72 is the complete list of elementary divisors of A € Z5 × Z7 i. e., A is an 5 x 7 matrix over Z and rank of A = 4. Fin the smith normal form of A.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 87E
Question
If 23, 24, 24, 3, 33,33,52,55,7,72
is the complete
list of elementary divisors of A € Z5 × Z7 i. e., A
is an 5 x 7 matrix over Z and rank of A = 4. Find
the smith normal form of A.
Transcribed Image Text:If 23, 24, 24, 3, 33,33,52,55,7,72 is the complete list of elementary divisors of A € Z5 × Z7 i. e., A is an 5 x 7 matrix over Z and rank of A = 4. Find the smith normal form of A.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning