Solution Found!
Let V R5 be spanned by (1, 0, 1, 1, 1) and (0, 1,1, 0, 2). By finding the left nullspace
Chapter 3, Problem 7(choose chapter or problem)
QUESTION:
Let \(V\subset \mathbb{R}^5\) be spanned by (1, 0, 1, 1, 1) and (0, 1,1, 0, 2). By finding the left nullspace of an appropriate matrix, give a homogeneous system of equations having V as its solution set. Explain how you are using Proposition 3.6.
Text Transcription:
V\subset \mathbb{R}^5
Questions & Answers
QUESTION:
Let \(V\subset \mathbb{R}^5\) be spanned by (1, 0, 1, 1, 1) and (0, 1,1, 0, 2). By finding the left nullspace of an appropriate matrix, give a homogeneous system of equations having V as its solution set. Explain how you are using Proposition 3.6.
Text Transcription:
V\subset \mathbb{R}^5
ANSWER:
Step 1 of 6
Given:
A vector subspace is spanned by and .
Let A be a matrix defined as