Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Problem 4 Let A be an n x k matrix, for some positive integers n and k . Suppose we are given that rank(A) 0, with rank(A) + rank(A") + nullity(A) = and nullity(A) + nullity(A") + rank(A) = 7. Find the size of this matrix A , namely find n and k . Hint. Use some appropriate results for this, and be methodical in analyzing the situation.

Problem 4 Let A be an n x k matrix, for some positive integers n and k . Suppose we are given that rank(A) 0, with rank(A) + rank(A") + nullity(A) = and nullity(A) + nullity(A") + rank(A) = 7. Find the size of this matrix A , namely find n and k . Hint. Use some appropriate results for this, and be methodical in analyzing the situation.

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.3: M X N Matrices
Problem 49PS
See similar textbooks
icon
Related questions
Question
100%

plz provide handwritten and accurate answer for problem 4 asap 

Problem 4 Let A be an n x k matrix, for some positive integers n and k . Suppose we are given that rank(A) + 0 , with rank(A) + rank(A") + nullity(A) = 3 and nullity(A) + nullity(A") + rank(A) = 7. %3D Find the size of this matrix A , namely find n and k . Hint. Use some appropriate results for this, and be methodical in analyzing the situation.
Transcribed Image Text:Problem 4 Let A be an n x k matrix, for some positive integers n and k . Suppose we are given that rank(A) + 0 , with rank(A) + rank(A") + nullity(A) = 3 and nullity(A) + nullity(A") + rank(A) = 7. %3D Find the size of this matrix A , namely find n and k . Hint. Use some appropriate results for this, and be methodical in analyzing the situation.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
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
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
SEE MORE TEXTBOOKS