Let A = 3 1 1 -2 5 0 1 0 5 2 0 2 2 1 1 -2 -2 -4 -2 -2] Find the nullspace(A). Then answer the following questions: Include the following in your initial post: 1. What is the vector space that the nullspace is a subspace of? 2. What is the geometric description of the nullspace? 3. If we let A be a coefficient matrix, how many solutions are there to the homogeneous system of equations? 4. What is the connection between the nullspace and the solution to the homogeneous system?
Let A = 3 1 1 -2 5 0 1 0 5 2 0 2 2 1 1 -2 -2 -4 -2 -2] Find the nullspace(A). Then answer the following questions: Include the following in your initial post: 1. What is the vector space that the nullspace is a subspace of? 2. What is the geometric description of the nullspace? 3. If we let A be a coefficient matrix, how many solutions are there to the homogeneous system of equations? 4. What is the connection between the nullspace and the solution to the homogeneous system?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 22E
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Can you pleasw give an explanation about the following question from the problem above.
What did you find to be the connection between the nullspace and the solution to the homogeneous system?
I also was wondering if you can point me to how you would find the dimension of the null space of A?
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