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

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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

                     

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