A scientist solves a nonhomogencous System of 10 linear equations in 12 unknowns and finds that three of the unknowns are free variables. Can the scientist be certain that, if the right sides of the equations are changed, the new homogencous system will have a solution ? To get the answer for above question, answer the followings (a) What is the order of the coefficient matrix? (b) ColA is a subspace of the vector space (c) What is dim Nul A ? (d) Write down the rank theorem. (e) What is rank A ? (f) What is dimCoIA ? (g) What is the conclusion for scientist's problem.
A scientist solves a nonhomogencous System of 10 linear equations in 12 unknowns and finds that three of the unknowns are free variables. Can the scientist be certain that, if the right sides of the equations are changed, the new homogencous system will have a solution ? To get the answer for above question, answer the followings (a) What is the order of the coefficient matrix? (b) ColA is a subspace of the vector space (c) What is dim Nul A ? (d) Write down the rank theorem. (e) What is rank A ? (f) What is dimCoIA ? (g) What is the conclusion for scientist's problem.
Chapter1: Taking Risks And Making Profits Within The Dynamic Business Environment
Section: Chapter Questions
Problem 1CE
Related questions
Question
A scientist solves a nonhomogencous System of 10 linear equations in 12 unknowns and finds that three of the unknowns are free variables. Can the scientist be certain that, if the right sides of the equations are changed, the new homogencous system will have a solution ?
To get the answer for above question, answer the followings
(a) What is the order of the coefficient matrix?
(b) ColA is a subspace of the vector space
(c) What is dim Nul A ?
(d) Write down the rank theorem.
(e) What is rank A ?
(f) What is dimCoIA ?
(g) What is the conclusion for scientist's problem.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you
Understanding Business
Management
ISBN:
9781259929434
Author:
William Nickels
Publisher:
McGraw-Hill Education
Management (14th Edition)
Management
ISBN:
9780134527604
Author:
Stephen P. Robbins, Mary A. Coulter
Publisher:
PEARSON
Spreadsheet Modeling & Decision Analysis: A Pract…
Management
ISBN:
9781305947412
Author:
Cliff Ragsdale
Publisher:
Cengage Learning
Understanding Business
Management
ISBN:
9781259929434
Author:
William Nickels
Publisher:
McGraw-Hill Education
Management (14th Edition)
Management
ISBN:
9780134527604
Author:
Stephen P. Robbins, Mary A. Coulter
Publisher:
PEARSON
Spreadsheet Modeling & Decision Analysis: A Pract…
Management
ISBN:
9781305947412
Author:
Cliff Ragsdale
Publisher:
Cengage Learning
Management Information Systems: Managing The Digi…
Management
ISBN:
9780135191798
Author:
Kenneth C. Laudon, Jane P. Laudon
Publisher:
PEARSON
Business Essentials (12th Edition) (What's New in…
Management
ISBN:
9780134728391
Author:
Ronald J. Ebert, Ricky W. Griffin
Publisher:
PEARSON
Fundamentals of Management (10th Edition)
Management
ISBN:
9780134237473
Author:
Stephen P. Robbins, Mary A. Coulter, David A. De Cenzo
Publisher:
PEARSON