Solved: List five vectors in Span {v1, v2}. For each

Linear Algebra and Its Applications | 5th Edition | ISBN: 9780321982384 | Authors: David C. Lay, Steven R. Lay, Judi J. McDonald

Problem 15E Chapter 1.3

Linear Algebra and Its Applications | 5th Edition

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Linear Algebra and Its Applications | 5th Edition | ISBN: 9780321982384 | Authors: David C. Lay, Steven R. Lay, Judi J. McDonald

Linear Algebra and Its Applications | 5th Edition

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Problem 15E

PROBLEM 15E

List five vectors in Span {v1, v2}. For each vector, show the weights on v1 and v2 used to generate the vector and list the three entries of the vector. Do not make a sketch.

Step-by-Step Solution:

Solution :  

Step 1 : we have to  list five vectors in Span {v1, v2}.

For each vector, show the weights on   v1 and v2

 Given that

       

    Step 2 : the objective is to list five vector in span

   consider some simple choice of weight as shown in the below

    let the first choice of weight are

               

                by using scalar multiplication

               by using vector addition

                here the weights are {0.0}

      Step 3 : second choice

                by using scalar multiplication

                by using addition of vector

                here the weights are {0,1}

Step 4 of 6

Chapter 1.3, Problem 15E is Solved
Step 5 of 6

Textbook: Linear Algebra and Its Applications
Edition: 5th
Author: David C. Lay, Steven R. Lay, Judi J. McDonald
ISBN: 9780321982384

This textbook survival guide was created for the textbook: Linear Algebra and Its Applications , edition: 5th. Linear Algebra and Its Applications was written by and is associated to the ISBN: 9780321982384. The full step-by-step solution to problem: 15E from chapter: 1.3 was answered by , our top Math solution expert on 07/20/17, 03:54AM. Since the solution to 15E from 1.3 chapter was answered, more than 2198 students have viewed the full step-by-step answer. The answer to “List five vectors in Span {v1, v2}. For each vector, show the weights on v1 and v2 used to generate the vector and list the three entries of the vector. Do not make a sketch.” is broken down into a number of easy to follow steps, and 35 words. This full solution covers the following key subjects: Vector, list, sketch, make, show. This expansive textbook survival guide covers 65 chapters, and 1898 solutions.

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